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 Total publications: 154 Scientific articles: 125 in MathSciNet: 92 in zbMATH: 72 in Web of Science: 35 in Scopus: 33 Cited articles: 69 Citations in Math-Net.Ru: 319 Citations in MathSciNet (by Sep 2017): 1119 Citations in Web of Science: 261 Citations in Scopus: 143 Presentations: 85

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Corresponding member of RAS
Professor
Doctor of physico-mathematical sciences (1984)
Speciality: 01.01.06 (Mathematical logic, algebra, and number theory)
Birth date: 3.09.1946
Phone: +7 (495) 941 01 79
Fax: +7 (495) 984 81 39
E-mail: ,
Keywords: Algebraic group, Lie group, Lie algebra, algebraic variety, action, representation, algebra, invariant, covariant, orbit, homogeneous space, automorphism group of algebraic variety, Cremona group, discrete reflection group, lattice.
UDC: 512.7, 512.745, 512.745.4, 512.743, 512.747, 512.76, 512.77, 512.71, 512.812, 512.813, 512, 519.4
MSC: 14l30, 14l24, 14l35, 15a72, 14l40, 14l10, 14l15, 14l17, 14m17, 14m20, 20G05, 15A72

Subject:

Algebraic transformation groups; invariant theory; algebraic groups, Lie groups, Lie algebras and their representations; algebraic geometry; automorphism groups of algebraic varieties; discrete reflection groups

Biography

Graduated from Mathematics and Mechanics Faculty of Moscow State University Lomonosov (MSU) (Department of High Algebra) in 1969. PhD (Candidate of Physics and Mathematics) (1972). Habilitation (Doctor of Physics and Mathematics) (1984). Full Professor (1986). Chair of Algebra and Mathematical Logic at Moscow State University MIEM (1995–2012; half-time since 2002). Since 2012 Professor at Department of Applied Mathematics of MIEM-HSE (part time). Since January 2002 Leading Research Fellow, and since May 2017 Principal Research Fellow at the Steklov Mathematical Institute, Russian Academy of Sciences (main place of work).

Invited speaker at the International Congress of Mathematicians, Berkeley, USA (1986). The results of 1982–1983 are the subject of J. Dixmier's talk at Séminaire N. Bourbaki (J. Dixmier, Quelques résults de finitude en théorie des invariants (d'après V. L. Popov), Séminaire Bourbaki, 38ème année 1985–86, no. 659, pp. 163–175).

Core member of the panel for Section 2, "Algebra" of the Program Committee for the 2010 International Congress of Mathematicians (2008–2010).

Fellow of the American Mathematical Society (elected in November 2012), see http://www.ams.org/profession/fellows-list-institution

Corresponding Member of the Russian Academy of Sciences (elected in October 2016).

Invited plenary speaker at the XVth Austrian–German Mathematical Congress (Ősterreichische Mathematische Gesellschaft–XV Kongress, Jahrestagung der Deutschen Mathematiker-vereinigung), Vienna, 2001.

Honorable International John-von-Neumann Professur awarded by Technische Universität München, Germany (2008). Invited Noted Scholar, Heidelberg University, Germany (1998–1999). Invited Noted Scholar, the University of British Columbia, Vancouver, Canada (1996).

Invited speaker at the international colloquia and conferences in Russia, France, UK, Italy, Germany, USA, Canada, Japan, Switzerland, Israel, Netherlands, Belgium, Spain, Norway, Sweden, India, Australia, Singapore, Hungary, Poland, Argentina, Uruguay, in particular, at Colloque en l'honneur de J. Dixmier (Paris, 1989), at the International Conference commemorating 150th birthday of Sophus Lie (Oslo, 1992), at Special Sessions of the Annual American Mathematical Society meetings in Chicago (1995) and Louisville, USA (1998), at the International Colloquium "Algebra, Arithmetic and Geometry" (Tata Institute, Bombay, 2000), at the International Conference commemorating 80th birthday of B. Kostant" (Vancouver, 2008).

Honorable Colligwood Lecture at Durham University, UK (2007).

Delivered courses "Invariant Theory", "Discrete Groups Generated by Complex Reflections", "Algebraic Transformation Groups and Singularities of Algebraic Varieties", "Algebraic Groups", "Algebraic Geometry" at the invitation of several leading mathematical centers in Germany (Heidelberg University, TUM), Switzerland (ETH Zürich), Netherlands (University of Utrecht), USA (University of Michigan), Canada (UBC), Austria (The Erwin Schrödinger Institute, Innsbruck University), Australia (Sydney University), Sweden (Lund University).

Executive Managing Editor of the journal Transformation Groups (1996--present), Birkhäuser Boston. Member of the Editorial Boards of Izvestiya Mathematics (2006--present), Mathematical Notes (2003--present), Journal of Mathematical Sciences (2001--present), Springer, European Mathematical Society Newsletter (since January 2015), EMS, Geometriae Dedicata (1989--1999), Kl\"uwer. Founder and title Editor of the subseries "Invariant Theory and Algebraic Transformation Groups" of Encyclopaedia of Mathematical Sciences, Springer (1998--present).

Member, Board of Moscow Mathematical Society (1998–2000).

More than 150 publications, among them 4 monographs, 1 textbook and the papers published in Annals of Mathematics, Journal of the American Mathematical Society, Compositio Mathematica, Transformation Groups, Izvestiya: Mathematics, Sbornik: Mathematics, Journal fur die reine und angewandte Mathematik, Commentarii Mathematici Helvetici, Contemporary Mathematics, Journal of Algebra, Functional Analysis and Its Applications, Comptes Rendus de l'Academie des Sciences Paris, Transactions of the Moscow Mathematical Society, Indagationes Mathematicae, Mathematical Notes, Russian Mathematical Surveys, Journal of the Ramanujan Mathematical Society, Documenta Mathematica, Pacific Journal of Mathematics, European Journal of Mathematics. The results are included in many monographs and textbooks (D. Mumford, J. Fogarty, Geometric Invariant Theory; H. Kraft, Geometrische Methoden in der Invariantentheorie; H. Derksen, G. Kemper, Computational Invariant Theory; F. Grosshans, Algebraic Homogeneous Spaces and Invariant Theory; H. Kraft, P. Slodowy, T. A. Springer, Algebraic Transformation Groups and Invariant Theory; W. F. Santos, A. Rittatore, Actions and Invariants of Algebraic Groups; B. Sturmfels, Algorithms in Invariant Theory; G. Freudenburg, Algebraic Theory of Locally Nilpotent Derivations; M. Lorenz, Multiplicative Invariant Theory; E. A. Tevelev, Projective Duality and Homogeneous Spaces and the others).

Organizer of several international conferences, in particular, "Semester on Algebraic Transformation Groups" at The Erwin Schrödinger Institute, Vienna (joint with B. Kostant, 2000), and the conference "Interesting Algebraic Varieties Arising in Algebraic Transformation Groups Theory" at The Erwin Schrödinger Institute, Vienna (2001).

Principal Investigator of the fSU–USA cooperative CRDF project "Algebraic Transformation Groups and Applications" (1996–1998). Team Leader of the joint Swiss-Franco-fSU INTAS project "Algebraic Transformation Groups with Application in Representation Theory and Algebraic Geometry" (1998–2000).

First Prize, graduate students research competition, Department of Mathematics, Moscow State University Lomonosov (1969).

======================================

Among the results obtained are:

● A criterion for closedness of orbits in general position, one of the basic facts of modern Invariant theory (1970–72).

● Pioneering results of modern theory of embeddings (compactifications) of homogeneous algebraic varieties (in particular, toric and spherical varieties), which determined its rapid modern development (1972–73).

● Computing the Picard group of any homogeneous algebraic variety of any linear algebraic group (1972–74).

● Creation of a new direction in Invariant theory—classifying linear actions with certain exceptional properties, e.g., with a free algebra of invariants (jointly with V. G. Kac and E. B. Vinberg), with a free module of covariants, with an equidimensional quotient, and the others. Developing the appropriate methods and obtaining the classifications themselves. Finiteness theorems for the actions with a fixed length of the chain of syzygies (1976–83). The ideology of exceptional properties has then became wide spreaded.

● Solution to the generalized Hilbert’s 14th problem (1979).

● The estimates of the degrees of basic invariants of connected semisimple linear groups first obtained 100 years after the attempt by Hilbert to obtain them (1981–82). They gave rise to modern constructive Invariant theory .

● A theory of contractions of any actions to horospherical ones, which has become an indispensable tool for the modern theory of algebraic transformation groups (1986).

● Pioneering results on the description of algebraic subgroups of the affine Cremona groups that led to a surge of activity in this area in recent decades are obtained (1986–2011).

● The characterization of affine algebraic groups as automorphism groups of simple finite-dimensional (not necessarily associative) algebras (2003, jointly with N. L. Gordeev). In particular, the extension to any finite group of the famous characterization of the largest simple sporadic finite group (the Fischer–Griess Monster). The result is published in Annals of Mathematics and recognized as one of the best in the Steklov Mathematical Institute in 2002.

● A theory of the phenomenon discovered in 1846 by Cayley (2005, jointly with N. Lemire, Z. Reichstein): classification of algebraic groups admitting a birational equivariant map on its Lie algebra. Solution to the old (1975) problem of classifying Caley unimodular groups. The result is published in Journal of the American Mathematical Society and recognized as one of the best in the Russian Academy of Sciences in 2005.

● Classification of simple Lie algebras whose fields of rational functions are purely transcendental over the subfields of adjoint invariants (2010, jointly with J.-L. Colliot-Thélène, B. Kunyavskiĭ, Z. Reichstein). This result is at the heart of counter-examples to the famous Gel'fand–Kirillov conjecture of 1966 on the fields of fractions of the universal enveloping algebras of simple Lie algebras. It is published in Compositio Mathematica and recognized as one of the best in the Steklov Mathematical Institute in 2010.

● Answers to the old (1969) questions of Grothendieck to Serre on the cross-sections and quotients for the actions of semisimple algebraic groups on themselves by conjugation. Constructing the minimal system of generators of the algebras of class functions and that of the representations of rings of such groups (2011).

● The solution of the classification problem, posed in 1965 by A. Borel, of infinite discrete groups generated by complex affine unitary reflections; exploring their remarkable connections with number theory, combinatorics, coding theory, algebraic geometry and singularity theory (1980–82, 2005).

===================================

On the results obtained (citations):

● From Introduction to the book J. Olver, Classical Invariant Theory, London Math. Soc. Student Texts 44 Cambridge Univ. Press, 1999:

[…] a vigorous, new Russian school of invariant theorists, led by Popov [181] and Vinberg [226] who have pushed the theory into fertile new areas. […]"

● On the book Popov, V. L. Groups, Generators, Syzygies, and Orbits in Invariant Theory. Transl. of Math. Monographs, 100. Amer. Math. Soc., Providence, RI, 1992. vi+245 pp.:

– From the review by G. Schwarz (Bull of Amer. Math. Soc., 29 (1993), no. 2, 299–304):

[…] Popov is a leader in Invariant theory, and the articles in this book were important to that field’s development. […]’’

[…] There has been an explosion of activity in this area over the last ten years. Popov's work was seminal. […]’’

– From the review by M. Brion (Math. Reviews 92g:14054:

[… ] The author’s results have been the starting point for research trends in invariant theory: for example, classification of representations of semisimple groups with good " properties, and also embedding theory of homogeneous spaces. […]’’

● On the work V. L. Popov, E. B. Vinberg, Invariant Theory, Encycl. Math. Sci., Vol. 55, Springer-Verlag, Berlin, 1994, pp. 123–284:

– From the review by N. Andruskiewitsch (Zentralblatt Math. 735.14010):

[…] The paper under review, written by two of the main contributors in this last period, […] should be considered as a book, which is probably the format it would have if translated. […]"

– From the review by P. E. Newstead (Math. Reviews 92d:14010) :

This article is […] by two of today’s leading experts in the field and will undoubtedly serve as a major source of information on the subject. […]"

● From the paper Y. André, Solution algebras of differential equations and quasi-homogeneous varieties: a new differential Galois correspondence, Ann. Sci. Ec. Norm. Sup. (4) 47 (2014), no. 2, 449--467:

After pioneering work by Grosshans, Luna, Popov, Vinberg and others in the seventies, the study of quasi-homogeneous G-varieties, i.e., algebraic G-varieties with a dense G-orbit, has now become a rich and deep theory.’’

● From the paper D. Luna et Th. Vust, Plongements d’espaces homogènes, Comment. Math. Helvetici 58 (1983), 186–245:

Nous devons notre point de départ bien évidemment à la théorie des plongements toriques ([5], [6]), mais aussi à article [10] de V. L. Popov, dans lequel est donnée la classification des espaces Presque-homogènes affines normaux sous SL(2)’’ (here [10] stands for V. L. Popov, “Quasihomogeneous affine algebraic varieties of the group SL(2)”, Math. USSR-Izv., 7:4 (1973), 793–831).

● From the Introduction to Chap. III of the book H. Kraft, Geometrische Methoden in der Invariantentheorie, Aspekte der Mathematik, Bd. D1, Vieweg, Braunschweig, 1985:

[…] Zum Abschluss geben wir – sozusagen als Krönung der hier entwickelten Methoden – die vollständige Klassifikation der sogenannten SL(2)-Einbettungen, d.h. derjenigen affinen SL(2)-Varietäten, welche einen dichten Orbit enthalten. Dieses schöne Resultat geht auf V. L. Popov zurück [P1]'' (here [Po1] stands for V. L. Popov, “Quasihomogeneous affine algebraic varieties of the group SL(2)”, Math. USSR-Izv., 7:4 (1973), 793–831).

● From the book Algebraic Transformation Groups and Invariant Theory, DMV Seminar, Band 13, Birkhäuser, 1989, p. 72:

In this paragraph we explain some classical results about the Picard group Pic G ([…]; [Po 74]; […])" (here [Po 74] stands for V. L. Popov, Picard groups of homogeneous spaces of linear algebraic groups and one-dimensional homogeneous vector bundles, Math. USSR Izv. 8 (1974), 301–327).

● From the paper H. Derksen, H. Kraft, Constructive Invariant theory, in: Algèbre Non Commutative, Groupes Quantiques et Invariants (Reims, 1995), Sémin. Congr., Vol. 36, Soc. Math. France, Paris, 1997, pp. 221–244:

It took almost a century until Vladimir Popov determined a general bound for β(V ) for any semi-simple group G ([Pop 81/82])" (here [Pop 81/82] stands for V. Popov, Constructive Invariant theory, Ast_erisque 87{88 (1981), 303–334, and V. L. Popov, The constructive theory of invariants, Math. USSR Izv. 19 (1982), 359–376.

● From the paper J. Elmer, M. Kohls, Zero-separating invariants for finite groups, J. Algebra 411 (2014), 92–113:

One of the most celebrated results of 20th century invariant theory is the theorem of Nagata [12] and Popov [13] which states that k[X]^G is finitely generated for all affine G-varieties X if and only if G is reductive.'' (here [13] stands for V. L. Popov, Hilbert's theorem on invariants, Soviet Math. Dokl., 20:6 (1979), 1318–1322).

● From the book (p. 161) D. Mumford, J. Fogarty, Geometric Invariant Theory, 2nd ed., Ergebnisse der Math. Und ihrer Grenzgebiete, Bd. 34, Springer-Verlag, Berlin, 1982:

[…] The striking result due to Kac, Popov, Vinberg ([…], [166], […]) is the following Theorem […]‘’ (here [166] stands for V. G. Kac, V. L. Popov, E. B. Vinberg, “Sur les groupes linéaires algébriques dont l'algèbre des invariants est libre”, C. R. Acad. Sci. Paris Sér. A-B, 283:12 (1976), A875–A878).

● From the paper H. Flenner, M. Zaidenberg, Locally nilpotent derivations on affine surfaces with a C-action, Osaka J. Math. 42 (2005), no. 4, 931–974:

By classical results […] of Popov [Po], […]" (here [Po] stands for V. L. Popov, Classification of affine algebraic surfaces that are quasihomogeneous with respect to an algebraic group, Math. USSR Izv. 7 (1974), 1039–1055 (1975)).

● From the paper L. E. Renner, Orbits and invariants of visible group actions, Transform. Groups 17 (2012), no. 4, 1191–1208:

We now introduce the following definition (Definition 1.10 below). It is one of the key notions in the study of invariants.[...] The notion of a stable action was first introduced in [7] by V. L. Popov. There he establishes a criterion of stability for semisimple groups (Theorem 1 of [7])‘’ (here Definition 1.10 is the definition of stable action and [7] is the reference to paper V. Popov, On the stability of the action of an algebraic group on an algebraic variety, Math. USSR Izv. 6 (1973), 367–379).

● From the paper N. Perrin, On the geometry of spherical varieties, Transform. Groups 19 (2014), no. 1, 171–223:

It is a classical problem to ask which product of projective rational homogeneous spaces $\prod_i G/P_i$ has a dense G-orbit. This is solved in [141] if all the parabolic subgroups agree‘’ (here [141] is the reference to the paper V. L. Popov, Generically multiple transitive algebraic group actions, in: Proceedings of the International Colloquium on Algebraic Groups and Homogeneous Spaces (Mumbai, 2004), Tata Institute of Fundamental Research, Vol. 19, Narosa, internat. distrib. by AMS, New Delhi, 2007, pp. 481–523).

Main publications:
1. N. Lemire, V. L. Popov, Z. Reichstein, “Cayley groups”, J. Amer. Math. Soc., 19:4 (2006), 921–967
2. N. L. Gordeev, V. L. Popov, “Automorphism groups of finite dimensional simple algebras”, Ann. of Math. (2), 158:3 (2003), 1041–1065
3. V. L. Popov, Groups, generators, syzygies, and orbits in invariant theory, Translations of Mathematical Monographs, 100, Amer. Math. Soc., Providence, RI, 1992 , vi+245 pp.
4. V. L. Popov, “Modern developments in invariant theory”, Proceedings of the International Congress of Mathematicians (Berkeley, Calif., 1986), v. 1, Amer. Math. Soc., Providence, RI, 1987, 394–406
5. V. L. Popov, Discrete Somplex Reflection Groups, Lectures delivered at the Math. Institute Rijksuniversiteit Utrecht in October 1980, Commun. Math. Inst. Rijksuniv. Utrecht, 15, Rijksuniversiteit Utrecht Mathematical Institute, Utrecht, 1982 , 89 pp.

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 2018 1. Vladimir L. Popov, “Modality of representations, and packets for $\theta$-groups”, Lie Groups, Geometry, and Representation Theory: In Honor of Bertram Kostant, 1st ed., Progress in Mathematics, eds. Victor G. Kac, Vladimir L. Popov, Birkhäuser, Boston, 2018 (to appear) arxiv.org/abs/1707.07720 2. Lie Groups, Geometry, and Representation Theory: In Honor of Bertram Kostant, Progress in Mathematics, 1st ed., eds. Victor G. Kac, Vladimir L. Popov, Birkhäuser, Boston, 2018 (to appear) 2017 3. Vladimir L. Popov, “Do we create mathematics or do we gradually discover theories which exist somewhere independently of us?”, Eur. Math. Soc. Newsl., 107 (2017), 37 http://www.ems-ph.org/journals/newsletter/pdf/2017-03-103.pdf 4. V. L. Popov, “Borel subgroups of Cremona groups”, Mathematical Notes, 102:1 (2017), 60-67 5. V. L. Popov, “On modality of representations”, Doklady Mathematics, 96:1 (2017), 312–314 doi.org/10.1134/S1064562417040032 6. Vladimir L. Popov, Algebraic groups whose orbit closures contain only finitely many orbits, 2017 , 12 pp., arXiv: 1707.06914v1 7. Vladimir L. Popov, Modality of representations, 2017 , 20 pp., arXiv: 1707.07720v1 8. Vladimir L. Popov, “Bass' triangulability problem”, Adv. Stud. Pure Math., 75, Algebraic Varieties and Automorphism Groups, 2017, 425–441 , Math. Soc. Japan, Kinokuniya, Tokyo, arXiv: 1504.03867 9. Vladimir L. Popov, “Discrete groups generated by complex reflections”, VI-th conference on algebraic geometry and complex analysis for young mathematicians of Russia (Northern (Arctic) Federal University named after M. V. Lomonosov, Koryazhma, Arkhangelsk region, Russia, August 25–30, 2017), Steklov Mathematical Institute of Russian Academy of Sciences, Moscow, 2017, 13–14 www.mathnet.ru/php/conference.phtml?confid=1006&option_lang=eng 10. Gene Freudenburg, Algebraic Theory of Locally Nilpotent Derivations, Subseries: Invariant Theory and Algebraic Transformation Groups, Encyclopaedia of Mathematical Sciences, 136, no. VII, 2nd ed., eds. Revaz V. Gamkrelidze, Vladimir L. Popov, Springer, Berlin, 2017 , 316+i-xxii pp. https://link.springer.com/content/pdf/bfm 2016 11. Vladimir L. Popov, “Birational splitting and algebraic group actions”, Eur. J. Math., 2:1 (2016), 283–290 , Published online: 16 May 2015 https://www.math.uni-bielefeld.de/LAG/man/552.pdf, arXiv: 1502.02167 12. V. L. Popov, G. V. Sukhotskii, Analiticheskaya geometriya. Uchebnik i praktikum, Bakalavr. Akademicheskii kurs, 2-e izd., per. i dop., Yurait, Moskva, 2016 , 232 pp. http://urait.ru/catalog/388730 13. V. L. Popov, “Algebras of General Type: Rational Parametrization and Normal Forms”, Proc. Steklov Inst. Math., 292:1 (2016), 202–215 14. V. L. Popov, “Subgroups of the Cremona groups: Bass' problem”, Dokl. Math., 93:3 (2016), 307–309 15. V. L. Popov, “Rationality of (co)adjoint orbits”, International conference on algebraic geometry, complex analysis and computer algebra (Northern (Arctic) Federal University named after M. V. Lomonosov, Koryazhma, Arkhangelsk region, Russia, August 03–09, 2016), Steklov Mathematical Institute of Russian Academy of Sciences, Moscow, 2016, 84–85 http://www.mathnet.ru/ConfLogos/805/thesis.pdf 2015 16. Vladimir L. Popov, “Around the Abhyankar–Sathaye conjecture”, Documenta Mathematica, 2015, Extra Volume:Alexander S. Merkurjev's Sixtieth Birthday (The Book Series, Vol. 7), 513–528 https://www.math.uni-bielefeld.de/documenta/vol-merkurjev/popov.html, arXiv: 1409.6330 (ISSN 1431-0643 (INTERNET), 1431-0635 (PRINT)) 17. V. L. Popov, “Finite subgroups of diffeomorphism groups”, Proc. Steklov Inst. Math., 289 (2015), 221–226 , arXiv: 1310.6548v2         (cited: 1)       (cited: 1) 18. V. L. Popov, “Problema Bassa o trianguliruemosti podgrupp grupp Kremony”, V shkola-konferentsiya po algebraicheskoi geometrii i kompleksnomu analizu dlya molodykh matematikov Rossii (g. Koryazhma Arkhangelskoi oblasti, Filial Severnogo (Arkticheskogo) federalnogo universiteta im. M. V. Lomonosova, 17–22 avgusta 2015 g.), Matematicheskii institut im. V.A. Steklova Rossiiskoi akademii nauk, Moskva, 2015, 83–87 http://www.mathnet.ru/ConfLogos/604/thesis-Koryazhma.pdf 19. V. L. Popov, “Number of components of the nullcone”, Proc. Steklov Inst. of Math., 290 (2015), 84–90 , arXiv: 1503.08303         (cited: 1)       (cited: 1) 20. Vladimir L. Popov, “On the equations defining affine algebraic groups”, Pacific J. Math., 279:1-2, Special issue. In memoriam: Robert Steinberg (2015), 423–446 http://msp.org/pjm/2015/279-1/p19.xhtml, arXiv: 1508.02860 21. H. Derksen, G. Kemper, Computational Invariant Theory, with two Appendices by Vladimir L. Popov, and an Addendum by Norbert A'Campo and Vladimir L. Popov, Encyclopaedia of Mathematical Sciences, subseries “Invariant Theory and Algebraic Transformation Groups”, 130, no. VIII, Second Enlarged Edition, eds. R. V. Gamkrelidze, V. L. Popov, Springer, Berlin, Heidelberg, 2015 , 387 pp. DOI:10.1007/978-3-662-48422-7 22. Vladimir L. Popov, “Is one of the two orbits in the closure of the other?”, Appendix B in: H. Derksen, G. Kemper, Computational Invariant Theory, Subseries “Invariant Theory and Algebraic Transformation Groups”, no. VIII, Encyclopaedia of Mathematical Sciences, 130, 2nd Enlarged Ed., Springer, Berlin, 2015, 309–322 www.springer.com/gp/book/9783662484203 23. Vladimir L. Popov, “Stratification of the nullcone”, Appendix C in: H. Derksen, G. Kemper, Computational Invariant Theory, Subseries “Invariant Theory and Algebraic Transformation Groups”, no. VIII, Encyclopaedia of Mathematical Sciences, 130, 2nd Enlarged Ed. with two Appendices by V. L. Popov, and an Addendum by N. A. Campo and V. L. Popov, Springer, Berlin, 2015, 323–344 www.springer.com/gp/book/9783662484203 24. Norbert A'Campo, Vladimir L. Popov, “The source code of HNC”, Addendum to Appendix C in: H. Derksen, G. Kemper, Computational Invariant Theory, Subseries “Invariant Theory and Algebraic Transformation Groups”, no. VIII, Encyclopaedia of Mathematical Sciences, 130, 2nd Enlarged Ed. with two Appendices by V. L. Popov, and an Addendum by N. A. Campo and V. L. Popov, Springer, Berlin, 2015, 345–358 www.springer.com/gp/book/9783662484203 2014 25. V. L. Popov, “Quotients by conjugation action, cross-sections, singularities,and representation rings”, Representation Theory and Analysis of Reductive Groups: Spherical Spaces and Hecke Algebras (Mathematisches Forschungsinstitut Oberwolfach, 19 January – 25 January 2014), Oberwolfach Reports, 11, no. 1, European Mathematical Society, 2014, 156–159 26. V. L. Popov, “On infinite dimensional algebraic transformation groups”, Transform. Groups, 19:2, special issue dedicated to E. B. Dynkin's 90th anniversary (2014), 549–568 https://www.math.uni-bielefeld.de/LAG/man/523.pdf, arXiv: 1401.0278       (cited: 1)     (cited: 2)   (cited: 1)   (cited: 1) 27. V. L. Popov, “Jordan groups and automorphism groups of algebraic varieties”, Automorphisms in birational and affine geometry, Springer Proceedings in Mathematics & Statistics, 79, Springer, 2014, 185–213 https://www.math.uni-bielefeld.de/LAG/man/508.pdf, arXiv: 1307.5522           (cited: 6) 28. V. L. Popov, “Jordaness of the automorphism groups of varieties and manifolds”, Modern Problems of Mathematics and Natural Sciences (Koryazhma, September 15–18, 2014), Northern (Arctic) Federal M. V. Lomonosov University, Koryazhma, 2014, 66–70 29. N. A. Vavilov, È. B. Vinberg, I. A. Panin, A. N. Panov, A. N. Parshin, V. P. Platonov, V. L. Popov, “Valentin Evgen'evich Voskresenskii (obituary)”, Russian Math. Surveys, 69:4 (2014), 753–754 2013 30. V. L. Popov, “Tori in the Cremona groups”, Izv. Math., 77:4, special issue on the occasion of I. R. Shafarevich's 90th anniversary (2013), 742–771 https://www.math.uni-bielefeld.de/LAG/man/474.pdf               (cited: 1)   (cited: 2)   (cited: 2)   (cited: 2) 31. V. L. Popov, “Some subgroups of the Cremona groups”, Affine algebraic geometry, Proceedings of the conference on the occasion of M. Miyanishi's 70th birthday (Osaka, Japan, 3–6 March 2011), World Scientific Publishing Co., Singapore, 2013, 213–242 https://www.math.uni-bielefeld.de/LAG/man/448.pdf     (cited: 4) 32. V. L. Popov, “Algebraic groups and the Cremona group”, Algebraic groups (Mathematisches Forschungsinstitut Oberwolfach, 7 April – 13 April 2013), Oberwolfach Reports, 10, no. 2, European Mathematical Society, 2013, 1053–1055 33. V. L. Popov, “Rationality and the FML invariant”, Journal of the Ramanujan Mathematical Society, 28A (2013), 409–415 http://www.mathjournals.org/jrms/2013-028-000/2013-28A-SPL-017.html, https://www.math.uni-bielefeld.de/LAG/man/485.pdf (special Issue-2013 dedicated to C. S. Seshadri's 80th birthday)     (cited: 1)     (cited: 2) 34. S. V. Vostokov, S. O. Gorchinskiy, A. B. Zheglov, Yu. G. Zarkhin, Yu. V. Nesterenko, D. O. Orlov, D. V. Osipov, V. L. Popov, A. G. Sergeev, I. R. Shafarevich, “Aleksei Nikolaevich Parshin (on his 70th birthday)”, Russian Math. Surveys, 68:1 (2013), 189–197 2012 35. V. L. Popov, “Problems for the problem session”, International conference “Groups of Automorphisms in Birational and Affine Geometry” (Levico Terme (Trento), October 29th – November 3rd, 2012), 2012 , 2 pp. http://www.science.unitn.it/cirm/Trento_postersession.html 36. V. L. Popov, Editor's preface to the Russian translation of the book: D. A. Cox, S. Katz, Mirror symmetry and algebraic geometry, ed. V. L. Popov, MCCME, Moscow, 2012, 5 2011 37. J.-L. Colliot-Thélène, B. Kunyavskiĭ, V. L. Popov, Z. Reichstein, “Is the function field of a reductive Lie algebra purely transcendental over the field of invariants for the adjoint action?”, Compos. Math., 147:2 (2011), 428–466     (cited: 12)     (cited: 8)   (cited: 6) 38. V. L. Popov, “Cross-sections, quotients, and representation rings of semisimple algebraic groups”, Transform. Groups, 16:3, special issue dedicated to Tonny Springer on the occasion of his 85th birthday (2011), 827–856     (cited: 5)     (cited: 4)   (cited: 4)   (cited: 4) 39. V. L. Popov, “On the Makar-Limanov, Derksen invariants, and finite automorphism groups of algebraic varieties”, Affine algebraic geometry: the Russell Festschrift, CRM Proceedings and Lecture Notes, 54, Amer. Math. Soc., 2011, 289–311 https://www.math.uni-bielefeld.de/LAG/man/375.pdf   (cited: 13)     (cited: 14) 40. V. L. Popov, “Invariant rational functions on semisimple Lie algebras and the Gelfand–Kirillov conjecture”, Algebra and Mathematical Logic, International conference commemorating $100$th birthday of professor V. V. Morozov (Kazan, September 25–30, 2011), Kazan Federal Univ., Kazan, 2011, 19 41. D. A. Timashev, Homogeneous spaces and equivariant embeddings, Encyclopaedia of Mathematical Sciences, Subseries Invariant Theory and Algebraic Transformation Groups, VIII, 138, eds. R. V. Gamkrelidze, V. L. Popov, Springer, Berlin, 2011 , 253 pp.     (cited: 52) 42. H. E. A. E. Campbell, D. L. Wehlau, Modular invariant theory, Encyclopaedia of Mathematical Sciences, Subseries Invariant Theory and Algebraic Transformation Groups, IX, 139, eds. R. V. Gamkrelidze, V. L. Popov, Springer, Berlin, 2011 , 233 pp.     (cited: 23) 2010 43. V. Popov, “Discrete complex reflection groups”, Geometry, topology, algebra and number theory, applications, The international conference dedicated to the 120th anniversary of Boris Nikolaevich Delone (1890–1980) (August 16–20, 2010), Steklov Mathematical Institute, Moscow State University, Moscow, 2010, 140 2009 44. V. L. Popov, “Two orbits: When is one in the closure of the other?”, Proc. Steklov Inst. Math., 264 (2009), 146–158         (cited: 4)   (cited: 4)   (cited: 4)   (cited: 4) 45. V. L. Popov, “Algebraic Cones”, Math. Notes, 86:6 (2009), 892–894             (cited: 1) 2008 46. V. L. Popov, “Irregular and singular loci of commuting varieties”, Transformation Groups, 13:3-4, special issue dedicated to Bertram Kostant on the occasion of his 80th birthday (2008), 819–837     (cited: 9)     (cited: 8)   (cited: 8)   (cited: 9) 47. V. Lakshmibai, K. N. Raghavan, Standard Monomial Theory. Invariant Theoretic Approach, Encyclopaedia of Mathematical Sciences, Subseries Invariant Theory and Algebraic Transformation Groups, VIII, 137, eds. R. V. Gamkrelidze, V. L. Popov, Springer, Berlin, 2008 , 265 pp.     (cited: 15) 2007 48. V. L. Popov, “Generically multiple transitive algebraic group actions”, Proceedings of the International Colloquium on Algebraic Groups and Homogeneous Spaces (Mumbai, 2004), Tata Institute of Fundamental Research, 19, Narosa Publishing House, Internat. distrib. by American Mathematical Society, New Delhi, 2007, 481–523   (cited: 12) 49. V. L. Popov, “Tensor product decompositions and open orbits in multiple flag varieties”, J. Algebra, 313:1 (2007), 392–416     (cited: 5)     (cited: 4)   (cited: 5)   (cited: 4) 50. N. Lemire, V. L. Popov, Z. Reichstein, “On the Cayley degree of an algebraic group”, Proceedings of the XVIth Latin American Algebra Colloquium (Spanish), Bibl. Rev. Mat. Iberoamericana, Rev. Mat. Iberoamericana, Madrid, 2007, 87–97 51. V. L. Popov, “Quasihomogeneous affine threefolds”, Affine algebraic geometry (Oberwolfach, January 7–14, 2007), Oberwolfach Reports, 4, no. 1, Europ. Math. Soc., 2007, 13–16 http://www.ems-ph.org/journals/show_abstract.php?issn=1660-8933&vol=4&iss=1&rank=1 52. V. L. Popov, “Birationally nonequivalent linear actions. Cayley degrees of simple algebraic groups. Singularities of two-dimensional quotients”, Affine Algebraic Geometry (Oberwolfach, January 7–14, 2007), Oberwolfach Reports, 4, no. 1, Europ. Math. Soc., 2007, 75–78 http://www.ems-ph.org/journals/show_abstract.php?issn=1660-8933&vol=4&iss=1&rank=1 53. V. L. Popov, “Finite linear groups, lattices, and products of elliptic curves”, International Algebraic Conference Dedicated to the 100th Anniversary of D. K. Faddeev (St. Petersburg, September 24–29, 2007), St. Petersburg State University, St. Petersburg Department of the V. A. Steklov Institute of Mathematics RAS, 2007, 148–149 2006 54. V. L. Popov, Yu. G. Zarhin, “Finite linear groups, lattices, and products of elliptic curves”, J. Algebra, 305:1 (2006), 562–576     (cited: 1)     (cited: 1)   (cited: 1)   (cited: 1) 55. M. Losik, P. W. Michor, V. L. Popov, “On polarizations in invariant theory”, J. Algebra, 301:1 (2006), 406–424     (cited: 7)     (cited: 8)   (cited: 7)   (cited: 8) 56. N. Lemire, V. L. Popov, Z. Reichstein, “Cayley groups”, J. Amer. Math. Soc., 19:4 (2006), 921–967     (cited: 9)     (cited: 8)   (cited: 8)   (cited: 9) 57. G. Freudenburg, Algebraic Theory of Locally Nilpotent Derivations, Encyclopaedia of Mathematical Sciences, Series Invariant Theory and Algebraic Transformation Groups, VII, 136, eds. R. V. Gamkrelidze, V. L. Popov, Springer, Berlin, 2006 , 261 pp.   (cited: 89) 2005 58. V. L. Popov, “Projective duality and principal nilpotent elements of symmetric pairs”, Lie groups and invariant theory, Amer. Math. Soc. Transl. Ser. 2, 213, Amer. Math. Soc., Providence, RI, 2005, 215–222   (cited: 2) 59. V. L. Popov, “Roots of the affine Cremona group; Rationality of homogeneous spaces; Two locally nilpotent derivations”, Affine algebraic geometry, Contemp. Math., 369, Amer. Math. Soc., Providence, RI, 2005, 12–16 60. E. Tevelev, Projective duality and homogeneous spaces, Encyclopaedia of Mathematical Sciences, Subseries Invariant Theory and Algebraic Transformation Groups, IV, 133, eds. R. V. Gamkrelidze, V. L. Popov, Springer, Berlin, 2005 , 250 pp.   (cited: 23) 61. M. Lorenz, Multiplicative invariant theory, Encyclopaedia of Mathematical Sciences, Subseries Invariant Theory and Algebraic Transformation Groups, VI, 135, eds. R. V. Gamkrelidze, V. L. Popov, Springer, Berlin, 2005 , 177 pp.   (cited: 33) 62. L. E. Renner, Linear algebraic monoids, Encyclopaedia of Mathematical Sciences, Subseries Invariant Theory and Algebraic Transformation Groups, V, 134, eds. R. V. Gamkrelidze, V. L. Popov, Springer, Berlin, 2005 , 246 pp.   (cited: 67) 2004 63. V. L. Popov, E. A. Tevelev, “Self-dual projective algebraic varieties associated with symmetric spaces”, Algebraic transformation groups and algebraic varieties, Proceedings of the International conference “Interesting Algebraic Varieties Arising in Algebraic Transformation Groups Theory” (the Erwin Schrödinger Institute, Vienna, October 22–26, 2001), Invariant Theory and Algebraic Transformation Groups, III, Encyclopaedia of Mathematical Sciences, 132, eds. V. L. Popov, Springer, Heidelberg, Berlin, 2004, 131–167   (cited: 7)     (cited: 6) 64. V. L. Popov, “Moment polytopes of nilpotent orbit closures; Dimension and isomorphism of simple modules; and Variations on the theme of J. Chipalkatti”, Invariant theory in all characteristics, CRM Proc. Lecture Notes, 35, Amer. Math. Soc., Providence, RI, 2004, 193–198   (cited: 2) 65. N. A'Campo, V. L. Popov, The computer algebra package HNC (Hilbert Null Cone), http://www.geometrie.ch/, Mathematisches Institut Universität Basel, Basel, 2004 , 12 pp. 66. V. L. Popov (ed.), Algebraic transformation groups and algebraic varieties, Proceedings of the International conference “Interesting Algebraic Varieties Arising in Algebraic Transformation Groups Theory” held at the Erwin Schrödinger Institute (Vienna, October 22–26, 2001), Invariant Theory and Algebraic Transformation Groups, v. III, Encyclopaedia of Mathematical Sciences, 132, Springer, Berlin, Heidelberg, 2004 , xii+238 pp.   (cited: 3) 2003 67. N. L. Gordeev, V. L. Popov, “Automorphism groups of finite dimensional simple algebras”, Ann. of Math. (2), 158:3 (2003), 1041–1065     (cited: 6)     (cited: 6)   (cited: 5)   (cited: 5) 68. M. Losik, P. W. Michor, V. L. Popov, “Invariant tensor fields and orbit varieties for finite algebraic transformation groups”, A Tribute to C. S. Seshadri: Perspectives in Geometry and Representation Theory (Chennai, 2002), Hindustan Book Agency (India), Chennai, 2003, 346–378   (cited: 4) 69. V. L. Popov, “The Cone of Hilbert nullforms”, Proc. Steklov Inst. Math., 241 (2003), 177–194 70. V. L. Popov, “Greetings to Seshadri on his 70th birthday”, A Tribute to C. S. Seshadri: Perspectives in Geometry and Representation Theory, Hindustan Book Agency (India), Chennai, 2003, xix 2002 71. V. L. Popov, “Self-dual algebraic varieties and nilpotent orbits”, Proceedings of the international conference “Algebra, Arithmetic and Geometry”, Part II (Mumbai, 2000), Tata Institute of Fundamental Research, 16, Narosa Publishing House, intern. distrib. by American Mathematical Society, New Delhi, 2002, 509–533   (cited: 6) 72. V. L. Popov, “Constructive invariant theory”, Collection of Papers Commemorating 40th Anniversary of MGIEM, MIEM Publ., Moscow, 2002, 103–106 73. H. Derksen, G. Kemper, Computational Invariant Theory, Encyclopaedia of Mathematical Sciences, Series Invariant Theory and Algebraic Transformation Groups, 1, 130, eds. R. V. Gamkrelidze, V. L. Popov, Springer, Berlin, 2002 , 268 pp.   (cited: 167) 74. A. Białynicki-Birula, J. B. Carrell, W. M. McGovern, Algebraic quotients. Torus actions and cohomology. The adjoint representation and the adjoint action, Encyclopaedia of Mathematical Sciences, Subseries Invariant Theory and Algebraic Transformation Groups, II, 131, eds. R. V. Gamkrelidze, V. L. Popov, Springer, Berlin, 2002 , 242 pp.   (cited: 8) 2001 75. V. L. Popov, “On polynomial automorphisms of affine spaces”, Izv. Math., 65:3 (2001), 569–587 76. V. Popov, “Modern developments in invariant theory”, Plenary Address at Österreichische Mathematische Gesellschaft – 15 Kongress, Jahrestagung der Deutschen Mathematikervereinigung (Vienna, 16–22 September), Deutsche Mathematikervereinigung, Österreichische Mathematische Gesellschaft, 2001, 48 77. V. L. Popov, “Preface to the Russian translation of talks at the Séminaire Bourbaki, 1992”, Mathematics. News in Foreign Science, 50, Mir, Moscow, 2001 2000 78. P. I. Katsylo, V. L. Popov, “On Fixed Points of Algebraic Actions on $\mathbb{C}^n$”, Funct. Anal. Appl., 34:1 (2000), 33–40 79. V. L. Popov, Generators and relations of the affine coordinate rings of connected semisimple algebraic groups, preprint ESI, no. 972, The Erwin Schrödinger Institute for Mathematical Physics, Vienna, 2000 , 12 pp. 80. V. L. Popov, Editor's preface to the Russian translation of the book: D. Cox, J. Little, D. O'Shea, Ideals, Varieties, and Algorithms. An Introduction to Computational Algebraic Geometry and Commutative Algebra (2nd edition, Springer, 1998), ed. V. L. Popov, Mir, Moscow, 2000, 6 1999 81. V. L. Popov, G. V. Sukhotsky, Analytic Geometry. Lectures and Exercises, MGIEM, SITMO Publ., Moscow, 1999 , ii+232 pp. 82. Vladimir Popov, “Algebraic groups of automorphisms of polynomial rings”, Colloque International “Théorie des Groupes”. Journées Solstice d'été 1999 (Institut de Mathématiques de Jussieu, 75005 Paris, France, 17, 18, 19 juin 1999), l'Université Paris 7–Denis Diderot, 1999, 15 https://www.imj-prg.fr/grg/archives/Colloques/1999Solstice/ 1998 83. V. L. Popov, Discrete complex reflection groups, Workshop on Reflection Groups, January 13–21, SISSA, Trieste, Italy, 1998 , 23 pp. 84. V. L. Popov, “Comments to the papers by D. Hilbert “Über die Theorie der algebraischen Formen” and “Über die vollen Invariantensysteme””: D. Hilbert, Selected Works, Factorial Publ., Moscow, 1998, 490–517 85. V. L. Popov, “Reductive subgroups of $Aut(A^3)$ and $Aut(A^4)$”, Tagungsbericht 14/1998, Algebraische Gruppen, 05.04–11.04.1998 (Mathematisches Forschungsinstitut Oberwolfach, 05.04–11.04,1998), v. 14, Mathematisches Forschungsinstitut Oberwolfach, 1998, 13–14 https://www.mfo.de/occasion/9815/www_view 1997 86. V. Popov, G. Röhrle, “On the number of orbits of a parabolic subgroup on its unipotent radical”, Algebraic Groups and Lie Groups, Australian Mathematical Society Lecture Series, 9, Cambridge University Press, Cambridge, 1997, 297–320   (cited: 16) 87. V. L. Popov, “A finiteness theorem for parabolic subgroups of fixed modality”, Indag. Math. (N.S.), 8:1 (1997), 125–132     (cited: 7)     (cited: 10)   (cited: 9)   (cited: 10) 88. V. L. Popov, “On the Closedness of Some Orbits of Algebraic Groups”, Funct. Anal. Appl., 31:4 (1997), 286–289             (cited: 2)   (cited: 2) 89. Vladimir Popov, “Orbits of parabolic subgroups acting on its unipotent radicals”, Tagungsbericht 42/1997. Einh"ullende Algebren und Darstellungstheorie. 02.11–08.11.1997 (Mathematisches Forschungsinstitut Oberwolfach. 02.11–08.11.1997), v. 42, Mathematisches Forschungsinstitut Oberwolfach, 1997, 13 http://oda.mfo.de/bsz325095604.html 90. D. V. Alekseevskii, V. O. Bugaenko, G. I. Olshanskii, V. L. Popov, O. V. Schwarzman, “Érnest Borisovich Vinberg (on his 60th birthday)”, Russian Math. Surveys, 52:6 (1997), 1335–1343               (cited: 1) 1995 91. V. L. Popov, “An analogue of M. Artin's conjecture on invariants for nonassociative algebras”, Lie Groups and Lie Algebras: E. B. Dynkin's Seminar, American Mathematical Society Translations Ser. 2, 169, Amer. Math. Soc., Providence, RI, 1995, 121–143   (cited: 4)     (cited: 23) 1994 92. V. Popov, “Sections in invariant theory”, Proceedings of The Sophus Lie Memorial Conference (Oslo, 1992), Scandinavian University Press, Oslo, 1994, 315–361   (cited: 28) 93. V. L. Popov, “Divisor class groups of the semigroups of the highest weights”, J. Algebra, 168:3 (1994), 773–779 94. V. L. Popov, E. B. Vinberg, “Invariant theory”, Encyclopaedia of Mathematical Sciences, 55, Algebraic Geometry IV, Springer-Verlag, Berlin, Heidelberg, New York, 1994, 123–284 1993 95. V. L. Popov, “Singularities of closures of orbits”, Quantum Deformations of Algebras and Their Representations (Ramat-Gan, 1991/1992; Rehovot, 1991/1992), Israel Math. Conference Proceedings, 7, Bar-Ilan University, Ramat Gan, 1993, 133–141   (cited: 1) 96. V. L. Popov, Predislovie k russkomu perevodu knigi: V. Kats, Beskonechnomernye algebry Li, eds. V. L. Popov, Mir, M., 1993, 5–6 , 425 pp.   (cited: 29) 1992 97. V. L. Popov, “On the “lemma of Seshadri””, Arithmetic and Geometry of Varieties, Samara State Univ., Samara, 1992, 133–139 98. V. L. Popov, È. B. Vinberg, “Some open problems in invariant theory”, Proc. Internat. Conf. in Algebra, Part 3 (Novosibirsk, 1989), Contemporary Mathematics, 131, Part 3, American Mathematical Society, Providence, RI, 1992, 485–497     (cited: 3)   (cited: 51) 99. V. L. Popov, Groups, generators, syzygies, and orbits in invariant theory, Translations of Mathematical Monographs, 100, Amer. Math. Soc., Providence, RI, 1992 , vi+245 pp.   (cited: 14) 100. V. L. Popov, “On the “lemma of Seshadri””, Lie Groups, Their Discrete Subgroups, and Invariant Theory, Advances in Soviet Mathematics, 8, Amer. Math. Soc., Providence, RI, 1992, 167–172   (cited: 3) 1991 101. V. L. Popov, “Invariant theory”, Algebra and Analysis (Kemerovo, 1988), Amer. Math. Soc. Transl. Ser. 2, 148, Amer. Math. Soc., Providence, RI, 1991, 99–112   (cited: 5) 1990 102. V. L. Popov, “When are the stabilizers of all nonzero semisimple points finite?”, Operator algebras, unitary representations, nveloping algebras, and invariant theory (Paris, 1989), Progress in Mathematics, 92, Birkhäuser Boston, Boston, MA, 1990, 541–559   (cited: 1)   (cited: 46) 1989 103. V. L. Popov, “Some applications of algebra of functions on $G/U$”, Group Actions and Invariant Theory (Montreal, PQ, 1988), CMS Conference Proceedings, 10, Amer. Math. Soc., Providence, RI, 1989, 157–166 104. V. L. Popov, “Automorphism groups of polynomial algebras”, Problems in Algebra (Gomel'), v. 4, Universitetskoe, Minsk, 1989, 4–16 105. E. B. Vinberg, V. L. Popov, “Teoriya invariantov”, Algebraicheskaya geometriya–4, Itogi nauki i tekhn., Ser. Sovrem. probl. mat., Fundam. napravleniya, 55, VINITI, M., 1989, 137–309   (cited: 71)   (cited: 129)   [V.. L. Popov, È. B. Vinberg, “Invariant theory”, Algebraic Geometry–4, Encyclopaedia of Mathematical Sciences, 55, Springer-Verlag, Berlin, Heidelberg, 1994, 123–284] 106. V. L. Popov, “Modules with finite stabilizers of nonzero semisimple elements”, Proc. Intern. Conference commemorating A. I. Mal'cev (Novosibirsk), Math. Inst. Sib. Branch Acad. Sci., Novosibirsk, 1989, 108 107. V. L. Popov, Basic algebraic structures, MIEM Publ., Moscow, 1989 , 42 pp. 1988 108. V. L. Popov, “On the actions of ${\mathbf G}_a$ on ${\mathbf A}^n$”, Arithmetic and geometry of varieties, Kuibyshev. Gos. Univ., Kuybyshev, 1988, 93–98 109. V. L. Popov, “Zamknutye orbity borelevskikh podgrupp”, Matem. sb., 135(177):3 (1988), 385–402   (cited: 3)   (cited: 4)  ; V. L. Popov, “Closed orbits of Borel subgroups”, Math. USSR-Sb., 63:2 (1989), 375–392 110. V. L. Popov, Analytic Geometry, MIEM Publ., Moscow, 1988 , 44 pp. 111. V. L. Popov, Linear Algebra, MIEM Publ., Moscow, 1988 , 45 pp. 1987 112. V. L. Popov, “One and a half centuries in the theory of invariants”, Methodological analysis of mathematical theories, Akad. Nauk SSSR Prezid., Tsentral. Sovet Filos. (Metod.) Sem., Moscow, 1987, 235–256 113. V. L. Popov, “Modern developments in invariant theory”, Proceedings of the International Congress of Mathematicians (Berkeley, Calif., 1986), v. 1, Amer. Math. Soc., Providence, RI, 1987, 394–406   (cited: 1) 114. V. L. Popov, “On actions of ${\mathbf G}_a$ on ${\mathbf A}^n$”, Algebraic groups (Utrecht, 1986), Lecture Notes in Math., 1271, Springer, Berlin, 1987, 237–242     (cited: 9)   (cited: 10) 115. V. L. Popov, “Stability of actions of Borel subgroups”, Proc. of the XIX-th All Union Algebraic Conference (L'vov), v. 1, Steklov Math. Inst. Acad. Sci. USSR, Moscow, 1987, 48 116. V. L. Popov, Editor's preface to the Russian translation of the book: H. Kraft, Geometrische Methoden in der Invariantentheorie, eds. V. L. Popov, Mir, Moscow, 1987, 5–7 1986 117. V. L. Popov, “Styagivanie deistvii reduktivnykh algebraicheskikh grupp”, Matem. sb., 130(172):3(7) (1986), 310–334   (cited: 29)   (cited: 30)  ; V. L. Popov, “Contractions of the actions of reductive algebraic groups”, Math. USSR-Sb., 58:2 (1987), 311–335 118. V. L. Popov, “On one-dimensional unipotent subgroups of the automorphism group of a polynomial algebra”, Proc. of the X-th All Union Symposium on Groups Theory (Minsk), Math. Isnt. Belorus. Acad. Sci., 1986, 182 1985 119. H. Kraft, V. L. Popov, “Semisimple group actions on the three-dimensional affine space are linear”, Comment. Math. Helv., 60:3 (1985), 466–479     (cited: 19)     (cited: 25)   (cited: 7)   (cited: 24) 1984 120. V. L. Popov, “Comments to the papers by H. Weyl “Theorie der Darstellung kontinuierlicher halbeinfacher Gruppen durch lineare TYransformationen”, “Spinors in $n$ dimensions” and “Eine für die Valenztheorie geeignete Basis der binären vektorinvarianten””, H. Weyl, Selected Works, Nauka, Moscow, 1984, 471–478; 461–467 1983 121. V. L. Popov, “Homological dimension of algebras of invariants”, J. Reine Angew. Math., 341 (1983), 157–173     (cited: 3)     (cited: 10)   (cited: 8) 122. V. L. Popov, “Sizigii v teorii invariantov”, Izv. AN SSSR. Ser. matem., 47:3 (1983), 544–622   (cited: 5)   (cited: 2)  ; V. L. Popov, “Syzygies in the theory of invariants”, Math. USSR-Izv., 22:3 (1984), 507–585 123. V. L. Popov, “On homological dimension of algebras of invariants”, Proc. of the XVII-th All Union Algebraic Conference (Minsk), Math. Inst. Belorus. Acad. Sci, 1983, 152–153 1982 124. V. L. Popov, Discrete Somplex Reflection Groups, Lectures delivered at the Math. Institute Rijksuniversiteit Utrecht in October 1980, Commun. Math. Inst. Rijksuniv. Utrecht, 15, Rijksuniversiteit Utrecht Mathematical Institute, Utrecht, 1982 , 89 pp.   (cited: 14) 125. V. L. Popov, “Teorema konechnosti dlya predstavlenii so svobodnoi algebroi invariantov”, Izv. AN SSSR. Ser. matem., 46:2 (1982), 347–370   (cited: 4)    ; V. L. Popov, “A finiteness theorem for representations with a free algebra of invariants”, Math. USSR-Izv., 20:2 (1983), 333–354 126. V. Grigor'ev, V. L. Popov, D. D. Solncev, Problems in algebra, MIEM Publ., Moscow, 1982 , 98 pp. 1981 127. V. L. Popov, “Constructive invariant theory”, Young Tableaux and Schur Functors in Algebra and Geometry (Toruń, 1980), Astérisque, 87, Soc. Math. France, Paris, 1981, 303–334   (cited: 11) 128. V. L. Popov, “Konstruktivnaya teoriya invariantov”, Izv. AN SSSR. Ser. matem., 45:5 (1981), 1100–1120   (cited: 5)   (cited: 3)  ; V. L. Popov, “The constructive theory of invariants”, Math. USSR-Izv., 19:2 (1982), 359–376 129. V. L. Popov, “Appendix 3 to the Russian translation of the book”: T. A. Springer, Invariant theory”, Mathematics. News in Foreign Science, 24, eds. V. L. Popov, Mir, Moscow, 1981, 153–182 130. V. L. Popov, Preface to the Russian translation of: T. Springer, Invariant theory, Mir, Moscow, 1981, 5–8 1980 131. V. L. Popov, “Complex root systems and their Weyl groups”, Proc. of the VII All Union Symposium on Group Theory (Krasnoyarsk), Math. Inst. Sib. Branch Acad. Sci., Krasnoyarsk Univ., Krasnoyarsk, 1980, 91 132. V. L. Popov, “Constructive invariant theory”, Proc. internat. conf. “Young Tableaux and Schur Functions in Algebra and Geometry” (Toruń, Poland), Inst. Math. Acad. Polon. Sci., 1980, 10–11 1979 133. V. L. Popov, “Hilbert's theorem on invariants”, Soviet Math. Dokl., 20:6 (1979), 1318–1322 134. V. L. Popov, “On Hilbert's fourteenth problem”, Proc. of the XV-th All Union Algebraic Conference (Krasnoyarsk), Math. Inst. Sib. Branch Acad. Sci., Krasnoyarsk Univ., Krasnoyarsk, 1979, 123 1978 135. V. L. Popov, “Klassifikatsiya spinorov razmernosti chetyrnadtsat”, Trudy Mosk. matem. obschestva, 37, MMO, 1978, 173–217   (cited: 1)   (cited: 2)  ; V. L. Popov, “Classification of spinors of dimension fourteen”, Trans. Mosc. Math. Soc., 1 (1980), 181–232 136. V. L. Popov, “Algebraic curves with an infinite automorphism group”, Math. Notes, 23:2 (1978), 102–108           (cited: 1)   (cited: 1) 1977 137. V. L. Popov, “One conjecture of Steinberg”, Funct. Anal. Appl., 11:1 (1977), 70–71           (cited: 1) 138. V. L. Popov, “Classification of the spinors of dimension fourteen”, Uspekhi Mat. Nauk, 32:1(193) (1977), 199–200 139. V. L. Popov, “Crystallographic groups generated by affine unitary reflection”, Proc. of the XIV-th All Union Algebraic Conference (Novosibirsk), v. 1, Math. Inst. Sib. Branch Acad. Sci., Novosibirsk Univ., Novosibirsk, 1977, 55–56 140. V. L. Popov, 86 statei, v. 1–5, Matematicheskaya entsiklopediya, Sov. entsikl., M., 1977–1985  ; V. L. Popov, 86 papers, Encyclopaedia of Mathematics, Kluwer Academic Publishers, 1987–2002 1976 141. V. G. Kac, V. L. Popov, E. B. Vinberg, “Sur les groupes linéaires algébriques dont l'algèbre des invariants est libre”, C. R. Acad. Sci. Paris Sér. A-B, 283:12 (1976), A875–A878   (cited: 12) 142. V. L. Popov, “Representations with a free module of covariants”, Funct. Anal. Appl., 10:3 (1976), 242–244           (cited: 24) 1975 143. V. L. Popov, “The classification of representations which are exceptional in the sense of Igusa”, Funct. Anal. Appl., 9:4 (1975), 348–350           (cited: 3) 144. V. L. Popov, “Classification of three-dimensional affine algebraic varieties that are quasi-homogeneous with respect to an algebraic group”, Math. USSR-Izv., 9:3 (1975), 535–576 1974 145. V. L. Popov, “Picard groups of homogeneous spaces of linear algebraic groups and one-dimensional homogeneous vector bundles”, Math. USSR-Izv., 8:2 (1974), 301–327 146. V. L. Popov, “Structure of the closure of orbits in spaces of finite-dimensional linear SL(2) representations”, Math. Notes, 16:6 (1974), 1159–1162           (cited: 1) 1973 147. V. L. Popov, “Classification of affine algebraic surfaces that are quasihomogeneous with respect to an algebraic group”, Math. USSR-Izv., 7:5 (1973), 1039–1056 148. V. L. Popov, “Quasihomogeneous affine algebraic varieties of the group SL(2)”, Math. USSR-Izv., 7:4 (1973), 793–831 1972 149. È. B. Vinberg, V. L. Popov, “On a class of quasihomogeneous affine varieties”, Math. USSR-Izv., 6:4 (1972), 743–758 150. V. L. Popov, “On the stability of the action of an algebraic group on an algebraic variety”, Math. USSR-Izv., 6:2 (1972), 367–379 151. V. L. Popov, “Picard groups of homogeneous spaces of linear algebraic groups and one-dimensional homogeneous vector bundles”, Uspekhi Mat. Nauk, XXVII:4 (1972), 191–192 1971 152. E. M. Andreev, V. L. Popov, “Stationary subgroups of points of general position in the representation space of a semisimple Lie group”, Funct. Anal. Appl., 5:4 (1971), 265–271           (cited: 8) 153. V. L. Popov, “Regular action of a semisimple algebraic group on an affine factorial algebra”, Proc. of the XI-th All Union Algebraic Colloquium (Kishinev), Math. Istitute Mold. Acad. Sci., Kishinev, 1971, 75 1970 154. V. L. Popov, “Stability criteria for the action of a semisimple group on a factorial manifold”, Math. USSR-Izv., 4:3 (1970), 527–535
 1 Discrete groups generated by complex reflections. Lecture 3V. L. Popov Sixth school-conference on algebraic geometry and complex analysis for young russian mathematiciansAugust 26, 2017 09:00 2 Discrete groups generated by complex reflections. Lecture 2V. L. Popov Sixth school-conference on algebraic geometry and complex analysis for young russian mathematiciansAugust 25, 2017 15:35 3 Discrete groups generated by complex reflections. Lecture 1V. L. Popov Sixth school-conference on algebraic geometry and complex analysis for young russian mathematiciansAugust 25, 2017 14:30 4 What are the equations defining linear algebraic groups?V. L. Popov "Algebra, algebraic geometry, and number theory". Memorial conference for academician Igor Rostislavovich ShafarevichJune 5, 2017 14:30 5 On Borel subgroups in the Cremona groupsV. L. Popov Seminar of the Department of Algebra and of the Department of Algebraic Geometry (Shafarevich Seminar)October 11, 2016 15:00 6 Around the Bass' Triangulability ProblemV. L. Popov International Cremona Conference, September 5--16, 2016, Basel, SwitzerlandSeptember 14, 2016 10:30 7 Triangulable subgroups of the Cremona groupsV. L. Popov International conference on algebraic geometry, complex analysis and computer algebraAugust 7, 2016 12:00 8 Coordinate algebras of connected affine algebraic groups: generators and relationsV. L. Popov International Workshop "Hopf Algebras, Algebraic Groups and Related Structures", June 13-17, 2016, Memorial University of Newfoundland, St John's, NL, CanadaJune 14, 2016 15:00 9 On the equations defining affine algebraic groupsV. L. Popov The third Russian-Chinese conference on complex analysis, algebra, algebraic geometry and mathematical physicsMay 14, 2016 12:10 10 The equations defining algebraic groupsV. L. Popov Talk delivered at the Chebyshev Laboratory, St. Petersburg State UniversityDecember 24, 2015 11:00 11 Simple algebras and algebraic groupsV. L. Popov September 16, 2015 13:30 12 Bass' problem on triangulable subgroups of the Cremona groupV. L. Popov May 22, 2015 10:00 13 Invariant TheoryV. L. Popov May 21, 2015 18:00 14 Algebraic subgroups of the Cremona groupsV. L. Popov International Scientific Session "Algebraic Geometry, Warsaw 1960-2015", on the occasion of awarding the honorary doctorate of the University of Warsaw to Professor Andrzej Szczepan Bialynicki-Birula, March 19-20, 2015, Warshaw, PolandMarch 20, 2015 15:00 15 About GrothendieckV. L. Popov Meeting "Alexander Grothendieck (1928--2014) and mathematics of XXth century" of the Section of Mathematics, Central House of Scientists of the RASFebruary 19, 2015 18:30 16 Jordan groupsV. L. Popov General Mathematics Seminar of the St. Petersburg Division of Steklov Institute of Mathematics, Russian Academy of SciencesDecember 18, 2014 14:00 17 Closures of orbitsV. L. Popov St. Petersburg Seminar on Representation Theory and Dynamical SystemsDecember 17, 2014 17:00 18 Simple algebras and invariants of linear actionsV. L. Popov Seminar of the Department of Algebra and of the Department of Algebraic Geometry (Shafarevich Seminar)November 18, 2014 15:00 19 Orbit closures of algebraic group actionsV. L. Popov International conference "Geometry, Topology and Integrability", October 20-25, 2014, Skolkovo Institute of Science and Technology, MoscowOctober 23, 2014 12:50 20 Orbit closuresV. L. Popov September 16, 2014 09:00 21 Infinite dimensional automorphism groups of algebraic varieties, multiple transitivity, and unirationalityV. L. Popov July 17, 2014 14:00 22 Finite group actions on algebraic varieties: a “social” approachV. L. Popov July 10, 2014 10:00 23 Automorphism groups of algebraic varietiesV. L. Popov Steklov Mathematical Institute SeminarMarch 27, 2014 16:00 24 Quotients by conjugation action, cross-sections, singularities, and representation ringsV. L. Popov January 20, 2014 15:00 25 Ñòðîåíèå àëãåáðàè÷åñêèõ ïîäãðóïï ãðóïï àâòîìîðôèçìîâ àëãåáðàè÷åñêèõ ìíîãîîáðàçèé è, â ÷àñòíîñòè, ãðóïïû Êðåìîíû $\mathrm{Cr}_n$V. L. Popov Scientific session of the Steklov Mathematical Institute dedicated to the results of 2013November 20, 2013 10:20 26 Æîðäàíîâû ãðóïïû è ãðóïïû àâòîìîðôèçìîâ àëãåáðàè÷åñêèõ ìíîãîîáðàçèéV. L. Popov Seminar of the Department of Algebra and of the Department of Algebraic Geometry (Shafarevich Seminar)September 10, 2013 15:00 27 Grothendieck's questions on conjugating actions of semisimple groupsV. L. Popov International conference dedicated to the 90th anniversary of academician Igor Rostislavovich ShafarevichJune 5, 2013 14:30 28 Algebraic groups and the Cremona groupV. L. Popov April 9, 2013 10:20 29 Orbit closuresV. L. Popov March 6, 2013 11:30 30 Rational functions on semisimple Lie algebras and the Gelfand–Kirillov conjectureV. L. Popov January 4, 2013 15:10 31 Tori in Cremona groupsV. L. Popov Second one-day conference dedicated to the memory of V. A. IskovskikhDecember 27, 2012 12:30 32 Simple algebras and the analogue of classical invariant theory for nonclassical groupsV. L. Popov International conference "Arithmetic as Geometry: Parshin Fest"November 29, 2012 15:00 33 Jordan groups and automorphism groups of algebraic varietiesV. L. Popov November 2, 2012 34 Rational functions on semisimple Lie algebras and the Gelfand–Kirillov ConjectureV. L. Popov October 2, 2012 35 170 years of invariant theoryV. L. Popov September 27, 2012 36 Coordinate algebras of algebraic groups: generators and relationsV. L. Popov September 27, 2012 37 Rational functions on semisimple Lie algebras and the Gelfand–Kirillov ConjectureV. L. Popov September 25, 2012 38 Tori in Cremona groupsV. L. Popov International conference "Essential Dimension and Cremona Groups", Chern Institute of Mathematics, Nankai University, Tianjin, ChinaJune 12, 2012 39 170 years of invariant theoryV. L. Popov Colloquium talk at the Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing, China.June 8, 2012 16:30 40 Rational actions on affine spacesV. L. Popov International conference "Birational and affine geometry"April 23, 2012 11:00 41 On the subgroups of the Cremona groupV. Popov Seminar of the Department of Algebra and of the Department of Algebraic Geometry (Shafarevich Seminar)April 3, 2012 15:00 42 Invariant rational functions on semisimple Lie algebras and the Gelfand–Kirillov conjectureV. L. Popov International conference "Algebra and Mathematical Logic" dedicated to the 100-th birthday of Professor V. V. MorozovSeptember 27, 2011 11:20 43 Cross-sections, quotients, and representation rings of semisimple algebraic groupsV. L. Popov Colloque International, Journées Solstice d'été 2011, Institut de Mathématiques de Jussieu, Université Paris-7 Denis Diderot, ParisJune 23, 2011 09:00 44 Discrete groups generated by complex reflectionsV. L. Popov International conference "GEOMETRY, TOPOLOGY, ALGEBRA and NUMBER THEORY, APPLICATIONS" dedicated to the 120th anniversary of Boris Delone (1890–1980)August 17, 2010 14:00 45 Cross-sections, quotients, and representation rings of semisimple algebraic groupsV. L. Popov International Algebraic Conference dedicated to the 70th birthday of Anatoly Yakovlev, June 19–24, 2010, St. Petersburg, RussiaJune 19, 2010 09:30 46 Cayley groupsV. L. Popov International Workshop Non-Archimedean Analysis, Lie Groups and Dynamical Systems February 8-12, 2010, Paderborn, GermanyFebruary 8, 2010 14:50 47 Cross-sections, quotients, and representation rings of semisimple algebraic groupsV. L. Popov International Workshop Linear Algebraic Groups and Related Structures, Banff International Research Station for Mathematical Innovation and Discovery, Banff, CanadaSeptember 16, 2009 09:50 48 Cross-sections and quotients for the actions of semisimple algebraic groupsV. L. Popov International conference "Geometry of Algebraic Varieties" dedicated to the memory of Vasily Alexeevich IskovskikhJune 30, 2009 10:00 49 Two orbits: when is one in the closure of the other?V. L. Popov International conference Affine Algebraic Geometry in honour of Peter Russell, McGill University, Montreal, CanadaJune 5, 2009 15:00 50 Algebraic groups and singularitiesV. L. Popov Summer School-Conference on Algebraic Geometry and Complex Analysis, YaroslavlMay 11, 2009 51 Two orbits: when is one in the closure of the other?V. L. Popov Seminar of the Department of AlgebraApril 28, 2009 15:00 52 Is the field of functions on the Lie algebra pure over the invariant subfield?V. L. Popov The second annual conference-meeting MIAN–POMI "Algebra and Algebraic Geometry"December 24, 2008 12:15 53 Describing the Hilbert cone of unstable pointsV. L. Popov International Conference Geometric Invariant Theory, Mathematisches Institut Georg-August-Universitat Gottingen, Gottingen, GermanyJune 2, 2008 09:30 54 Tensor product decompositions and open orbits in multiple flag varietiesV. L. Popov International Conference Lie Theory and Geometry. The Mathematical Legacy of Bertram Kostant, University of British Columbia, Vancouver, CanadaMay 23, 2008 14:30 55 One and a half centuries of invariant theoryV. L. Popov Steklov Mathematical Institute SeminarFebruary 28, 2008 16:00 56 Rationality of extensions of invariant fieldsV. L. Popov Seminar of the Department of AlgebraJanuary 29, 2008 15:00 57 One and a half centuries of Invariant TheoryV. L. Popov The 2007 Collingwood Lecture, Durham University, Great BritainNovember 23, 2007 13:15 58 Finite linear groups, lattices, and products of elliptic curvesV. L. Popov International Algebraic Conference dedicated to the 100th anniversary of D. K. FaddeevSeptember 25, 2007 11:00 59 Cayley groupsV. L. Popov International conference on algebra and number theory, dedicated to the 80th anniversary of V. E. Voskresensky, SamaraMay 22, 2007 60 Discrete groups generated by complex reflectionsV. L. Popov Seminar of the Department of AlgebraMarch 27, 2007 15:00 61 Generically transitive algebraic group actions, open orbits in multiple flag varieties, and tensor product decompositionsV. L. Popov Seminar of the Department of AlgebraJanuary 23, 2007 15:00 62 Quasihomogeneous affine threefoldsV. L. Popov International Conference Affine Algebraic Geometry, Oberwolfach, GermanyJanuary 7, 2007 63 Generically multiple transitive algebraic group actionsV. L. Popov International conference Algebraic Geometry: Warsaw 1960-2005, Bedlęwo, PolandJune 8, 2006 64 Finite linear groups, lattices, and products of elliptic curvesV. L. Popov International Workshop Algebra and Geometry on the occasion of Norbert A'Campo's 65th anniversary, ETH Zurich, SwitzerlandMay 18, 2006 65 13th Hilbert problem and algebraic groupsV. L. Popov Meetings of the St. Petersburg Mathematical SocietyApril 18, 2006 66 Finite linear groups, lattices, and products of elliptic curves (joint work with Yu. G. Zarhin)V. L. Popov Seminar of the Department of AlgebraApril 4, 2006 67 Projective self-dual algebraic varieties and nilpotent orbitsV. L. Popov Buenos Aires Satellite Conference of the Lat Am Algebra Colloquium, BASCOLA, University of Buenos AiresAugust 10, 2005 11:00 68 Finite dimensional simple algebras and the analogue of classicalinvariant theory for nonclassical groupsV. L. Popov XVI Latin American Algebra Colloquium, Coloniadel Sacramento, UruguayAugust 7, 2005 69 Projective duality and nilpotent orbitsV. L. Popov Seminar of the Department of AlgebraApril 12, 2005 70 Generators and relations of algebras of regular functions of connected linear groupsV. L. Popov Seminar of the Department of AlgebraJanuary 18, 2005 71 Polynomial automorphismsV. L. Popov The University of British Columbia, Mathematics DepartmentNovember 24, 2004 15:00 72 150 years of Invariant TheoryV. L. Popov Red Raider Symposium 2004: Invariant Theory in Perspective Texas Technical University, Lubbock TX, USANovember 11, 2004 10:00 73 Cayley groupsV. L. Popov International Conference Arithmetic Geometry, St. PetersburgJune 26, 2004 74 Ïðîåêòèâíî ñàìîäâîéñòâåííûå àëãåáðàè÷åñêèå ìíîãîîáðàçèÿ è íèëüïîòåíòíûå îðáèòûV. L. Popov Lie groups and invariant theoryMay 5, 2004 16:20 75 Cayley groupsV. L. Popov International Conference Commutative Algebra and Algebraic Geometry in honor of Professor Miyanishi, Osaka University, JapanMay 1, 2004 76 Cayley maps for algebraic groupsV. L. Popov International Colloquium Algebraic Groups and Homogeneous Spaces, Bombay, IndiaJanuary 6, 2004 77 Finite dimensional simple algebras and the analogue of classical invariant theory for nonclassical groupsV. L. Popov International workshop on Invariant Theory, Queen's University, Kingston, ON, CanadaApril 8, 2002 78 Homogeneous spaces and the problems of groups actions and algebraic geometryV. L. Popov International Workshop Group Actions on Rational Varieties CRM, Montreal, CanadaFebruary 27, 2002 09:00 79 Hilbert 13th problem and algebraic groupsV. L. Popov Moscow mathematical societyApril 4, 2000 80 Algebraic group actions and rational singularitiesV. L. Popov International Workshop "Trends in Commutative Algebra", Indian Institute of Technology, Bombay, January 13–15, 2000January 14, 2000 09:00 81 Modern developments in invariant theoryV. L. Popov International Workshop "Trends in Commutative Algebra", Indian Institute of Technology, Bombay, January 13–15, 2000January 13, 2000 10:00 82 Algebraic groups of automorphisms of polynomial ringsV. L. Popov Théorie des Groupes', Colloque International, Journées Solstice d'été 1999June 8, 1999 15:15 83 Reductive subgroups of ${\mathrm Aut}{\mathbf A}^3$ and ${\mathrm Aut}{\mathbf A}^4$V. L. Popov Algebraische Gruppen, Mathematisches Forschungsinstitut Oberwolfach, Germany, 05-11 April,1998April 7, 1998 11:00 84 Orbits of parabolic subgroup acting on its unipotent radicalV. L. Popov Einhüllende Algebren und Darstellungstheorie, Mathematisches Forschungsinstitut Oberwolfach, Germany, 02.11–08.11.1997November 4, 1997 10:00 85 Kostant sectionsV. L. Popov Colloque International "Groupes et Algèbres" Journées Solstice d'été, Institut de Mathématiques de Jussieu, Université Paris-7 Denis Diderot, ParisJune 23, 1995