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Osipov Denis Vasilievich

Total publications: 32
Scientific articles: 31
in MathSciNet: 25
in zbMATH: 23
in Web of Science: 24
in Scopus: 24
Cited articles: 24
Citations in Math-Net.Ru: 82
Citations in MathSciNet: 113
Citations in Web of Science: 92
Citations in Scopus: 69
Presentations: 31

Number of views:
This page:2658
Abstract pages:3948
Full texts:588
References:411
Osipov Denis Vasilievich
Doctor of physico-mathematical sciences (2013)
Speciality: 01.01.06 (Mathematical logic, algebra, and number theory)
E-mail:
Keywords: algebraic variety, arithmetic surface, higherdimensional local field, higher adeles, 2-category, reciprocity law, harmonic analysis.

Subject:

Algebraic and arithmetic geometry, algebraic number theory, higher adeles and higherdimensional local fields, 2-categories and their applications to higher adeles and arithmetic, integrable systems.

   
Main publications:
  1. D. V. Osipov, “The unramified two-dimensional Langlands correspondence”, Izv. Math., 77:4 (2013), 714–741 , arXiv: 1210.3780  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib  elib  scopus
  2. Denis Osipov, Xinwen Zhu, “A categorical proof of the Parshin reciprocity laws on algebraic surfaces”, Algebra Number Theory, 5:3 (2011), 289–337 , arXiv: 1002.4848  crossref  mathscinet  zmath  isi  scopus
  3. D. Osipov, “Adeles on $n$-dimensional schemes and categories $C_n$”, Internat. J. Math., 18:3 (2007), 269–279 , arXiv: math/0509189  crossref  mathscinet  zmath  isi  elib  scopus
  4. D. V. Osipov, “Krichever correspondence for algebraic varieties”, Izv. Math., 65:5 (2001), 941–975 , arXiv: math/0003188  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  scopus
  5. D. V. Osipov, “Adele constructions of direct images of differentials and symbols”, Sb. Math., 188:5 (1997), 697–723 , arXiv: math/9802112  mathnet  crossref  crossref  mathscinet  zmath  isi  scopus

http://www.mathnet.ru/eng/person8521
http://scholar.google.com/citations?user=_rMr7HAAAAAJ&hl=en
http://zbmath.org/authors/?q=ai:osipov.denis-v
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http://elibrary.ru/author_items.asp?authorid=16793
http://www.researcherid.com/rid/E-6785-2016
http://www.scopus.com/authid/detail.url?authorId=36873507400
https://www.researchgate.net/profile/Denis_Osipov
http://arxiv.org/a/osipov_d_1

Full list of publications:
| by years | by types | by times cited | scientific publications | common list |



   2016
1. Denis Osipov, Xinwen Zhu, “The two-dimensional Contou-Carrère symbol and reciprocity laws”, J. Algebraic Geom., 25 (2016), 703–774 , arXiv: 1305.6032  mathnet  crossref  mathscinet (cited: 2)  zmath  isi (cited: 3)  elib  scopus (cited: 3)
2. D. V. Osipov, A. N. Parshin, “Representations of the Discrete Heisenberg Group on Distribution Spaces of Two-Dimensional Local Fields”, Proc. Steklov Inst. Math., 292 (2016), 185–201 , arXiv: 1510.02423  mathnet  crossref  crossref  mathscinet  zmath  isi  elib  elib  scopus
3. Sergey O. Gorchinskiy, Denis V. Osipov, “Continuous homomorphisms between algebras of iterated Laurent series over a ring”, Proc. Steklov Inst. Math., 294 (2016), 47–66  mathnet  crossref  crossref  mathscinet  isi (cited: 1)  elib  elib  scopus
4. S. O. Gorchinskiy, D. V. Osipov, “Higher-dimensional Contou-Carrère symbol and continuous automorphisms”, Funct. Anal. Appl., 50:4 (2016), 268–280  mathnet  crossref  crossref  isi  elib  scopus

   2015
5. S. O. Gorchinskiy, D. V. Osipov, “Explicit formula for the higher-dimensional Contou-Carrère symbol”, Russian Math. Surveys, 70:1 (2015), 171–173  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi (cited: 4)  elib (cited: 1)  elib (cited: 1)  scopus
6. S. O. Gorchinskiy, D. V. Osipov, “A higher-dimensional Contou-Carrère symbol: local theory”, Sb. Math., 206:9 (2015), 1191–1259 , arXiv: 1505.03829  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi (cited: 3)  elib (cited: 1)  elib (cited: 1)  scopus (cited: 1)
7. D. V. Osipov, “The Discrete Heisenberg Group and Its Automorphism Group”, Math. Notes, 98:1 (2015), 185–188 , arXiv: 1505.00348  mathnet  crossref  crossref  mathscinet  isi (cited: 3)  elib (cited: 1)  elib (cited: 1)  scopus (cited: 1)
8. S. O. Gorchinskiy, D. V. Osipov, “Tangent Space to Milnor $K$-Groups of Rings”, Proc. Steklov Inst. Math., 290 (2015), 26–34 , arXiv: 1505.03780  mathnet  crossref  crossref  isi (cited: 2)  elib (cited: 1)  elib (cited: 1)  scopus

   2014
9. H. Kurke, D. Osipov, A. Zheglov, “Commuting differential operators and higher-dimensional algebraic varieties”, Selecta Math. (N.S.), 20:4 (2014), 1159–1195 , arXiv: 1211.0976  mathnet  crossref  mathscinet (cited: 4)  zmath  isi (cited: 1)  elib (cited: 1)  scopus

   2013
10. D. V. Osipov, “The unramified two-dimensional Langlands correspondence”, Izv. Math., 77:4 (2013), 714–741 , arXiv: 1210.3780  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi (cited: 1)  elib (cited: 2)  elib (cited: 2)  scopus (cited: 2)
11. D. V. Osipov, “Noncommutative reciprocity laws on algebraic surfaces: the case of tame ramification”, Sb. Math., 204:12 (2013), 1797–1810 , arXiv: 1307.1995  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib  elib  scopus
12. D. V. Osipov, “Dvumernoe sootvetstvie Lenglendsa”, Algebra i teoriya chisel: sovremennye problemy i prilozheniya: Tezisy dokladov XI Mezhdunarodnoi konferentsii (Saratov, 9–14 sentyabrya 2013 g.), ISBN 978-5-292-04189-4, Izdatelstvo Saratovskogo universiteta, Saratov, 2013, 64–65 old.sgu.ru/files/nodes2013/67438/Tezis.pdf
13. D. V. Osipov, “Vvedenie v teoriyu vysshikh adelei”, programma lektsii, Letnyaya shkola-konferentsiya po algebraicheskoi geometrii i kompleksnomu analizu dlya molodykh uchenykh Rossii (Yaroslavl, YaGPU, 20–25 maya 2013 g.), Matematicheskii institut im. V. A. Steklova RAN, Moskva, 2013, 8–9
14. D. V. Osipov, Kategornye metody v teorii vysshikh adelei i ikh primenenie, Diss. … dokt. fiz.-matem. nauk, Matematicheskii institut im. V. A. Steklova RAN, Moskva, 2013 , 195 pp. avtoreferat dissertatsii
15. 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  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib  elib

   2011
16. D. V. Osipov, A. N. Parshin, “Harmonic analysis on local fields and adelic spaces. II”, Izv. Math., 75:4 (2011), 749–814 , arXiv: 0912.1577  mathnet  mathnet  crossref  crossref  mathscinet (cited: 3)  zmath  adsnasa  isi (cited: 8)  elib (cited: 3)  elib (cited: 3)  scopus (cited: 2)
17. Denis Osipov, Xinwen Zhu, “A categorical proof of the Parshin reciprocity laws on algebraic surfaces”, Algebra Number Theory, 5:3 (2011), 289–337 , arXiv: 1002.4848  crossref  mathscinet (cited: 10)  zmath  isi (cited: 8)  scopus (cited: 7)
18. D. V. Osipov, A. N. Parshin, “Harmonic analisys and the Riemann-Roch theorem”, Dokl. Math., 84:3 (2011), 826–829 , arXiv: 1107.0408  crossref  mathscinet  zmath  isi (cited: 2)  elib (cited: 3)  elib (cited: 3)  scopus (cited: 2)

   2010
19. Herbert Kurke, Denis V. Osipov, Alexander B. Zheglov, “Formal groups arising from formal punctured ribbons”, Inernat. J. Math., 21:6 (2010), 755–797 , arXiv: 0901.1607  crossref  mathscinet (cited: 3)  zmath  isi (cited: 4)  elib (cited: 4)  scopus (cited: 4)

   2009
20. H. Kurke, D. Osipov, A. Zheglov, “Formal punctured ribbons and two-dimensional local fields”, J. Reine Angew. Math., 629 (2009), 133–170 , arXiv: 0708.0985  crossref  mathscinet (cited: 5)  zmath  isi (cited: 6)  elib (cited: 6)  scopus (cited: 6)
21. A. B. Zheglov, D. V. Osipov, “Higher KP-hierarchies and punctured ribbons”, Modern problems of mathematics and mechanics. Volume III “Mathematics”, Issue 2 “Geometry and topology”, eds. A. T. Fomenko, Moscow State University, Moscow, 2009, 15–35 (in Russian)

   2008
22. D. V. Osipov, “$n$-dimensional local fields and adeles on $n$-dimensional schemes”, Surveys in contemporary mathematics, London Math. Soc. Lecture Note Ser., 347, Cambridge Univ. Press, Cambridge, 2008, 131–164 arXiv: math/0508205  mathscinet (cited: 10)  zmath
23. D. V. Osipov, A. N. Parshin, “Harmonic analysis on local fields and adelic spaces. I”, Izv. Math., 72:5 (2008), 915–976 , arXiv: 0707.1766  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi (cited: 8)  elib  scopus (cited: 4)

   2007
24. D. Osipov, “Adeles on $n$-dimensional schemes and categories $C_n$”, Internat. J. Math., 18:3 (2007), 269–279 , arXiv: math/0509189  crossref  mathscinet (cited: 13)  zmath  isi (cited: 14)  elib (cited: 12)  scopus (cited: 13)
25. A. B. Zheglov, D. V. Osipov, “On Some Questions Related to the Krichever Correspondence”, Math. Notes, 81:4 (2007), 467–476 , arXiv: math/0610364  mathnet  crossref  crossref  mathscinet  zmath  isi (cited: 4)  elib (cited: 3)  elib (cited: 3)  scopus (cited: 4)

   2005
26. D. V. Osipov, “Central extensions and reciprocity laws on algebraic surfaces”, Sb. Math., 196:10 (2005), 1503–1527 , arXiv: math/0501155  mathnet  crossref  crossref  mathscinet  zmath  isi (cited: 8)  elib (cited: 7)  elib (cited: 7)  scopus (cited: 4)

   2003
27. D. V. Osipov, “The infinite-dimensional Sato Grassmannian and coherent sheaves of rank 2 on curves”, Sb. Math., 194:11 (2003), 1665–1678 , arXiv: math/9904152  mathnet  crossref  crossref  mathscinet  zmath  isi (cited: 3)  scopus (cited: 2)
28. Denis Osipov, To the multidimensional tame symbol, 2003 , 27 pp., preprint 03-13 of the Humboldt University of Berlin, arXiv: 1105.1362

   2001
29. D. V. Osipov, “Krichever correspondence for algebraic varieties”, Izv. Math., 65:5 (2001), 941–975 , arXiv: math/0003188  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  scopus (cited: 9)

   2000
30. Osipov Denis, “Adelic constructions for direct images of differentials and symbols”, Invitation to higher local fields (Münster, 1999), Geom. Topol. Monogr., 3, Geom. Topol. Publ., Coventry, 2000, 215–221 arXiv: math/0012152 (electronic)  crossref  mathscinet  zmath

   1999
31. D. V. Osipov, “The Krichever map and (semi)stable sheaves on curves”, Russian Math. Surveys, 54:3 (1999), 646–647  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  scopus

   1997
32. D. V. Osipov, “Adele constructions of direct images of differentials and symbols”, Sb. Math., 188:5 (1997), 697–723 , arXiv: math/9802112  mathnet  crossref  crossref  mathscinet  zmath  isi (cited: 9)  scopus (cited: 5)

Presentations in Math-Net.Ru
1. Символы Конту-Каррера
Zykin Memorial Conference
June 15, 2017 14:30   
2. Вторые числа Чженя векторных расслоений на алгебраической поверхности и высшие адели
VI Workshop and Conference on Lie Algebras, Algebraic Groups, and Invariant Theory
February 2, 2017 15:00
3. Higher-dimensional class field theory
Arithmetic geometry seminar
January 30, 2017 17:00
4. Higher-dimensional Chebotarev density theorem
Arithmetic geometry seminar
January 23, 2017 17:00
5. One-dimensional class field theory
Arithmetic geometry seminar
January 16, 2017 17:00
6. Higher-dimensional Contou-Carrère symbol
Seminar "Complex analysis in several variables" (Vitushkin Seminar)
October 19, 2016 16:45
7. New formulas for the higher-dimensional Contou-Carrère symbol
International conference on algebraic geometry, complex analysis and computer algebra
August 4, 2016 12:00
8. Distribution spaces of two-dimensional local fields and representations of the discrete Heisenberg group
The third Russian-Chinese conference on complex analysis, algebra, algebraic geometry and mathematical physics
May 15, 2016 16:00   
9. The two-dimensional Contou–Carrère symbol and reciprocity laws
Scientific session of the Steklov Mathematical Institute dedicated to the results of 2014
November 12, 2014 11:15   
10. Некоммутативные законы взаимности на алгебраических и арифметических поверхностях, случай ручного ветвления
Seminar of the Department of Algebra and of the Department of Algebraic Geometry (Shafarevich Seminar)
February 18, 2014 15:00
11. Unramified two-dimensional Langlands correspondence and noncommutative reciprocity laws
International Chinese-Russian conference on Number Theory
October 12, 2012 11:00   
12. Non-ramified Langlands correspondence for two-dimensional local fields
Seminar on Arithmetic Algebraic Geometry
April 18, 2012 12:00
13. Двумерный символ Контоу–Каррере и законы взаимности
Seminar of the Department of Algebra
February 21, 2012 15:00
14. Hypothetical two-dimensional generalization of the Langlands program
Seminar on Arithmetic Algebraic Geometry
October 19, 2011 12:00
15. Categorical central extensions and reciprocity laws on algebraic surfaces
International symposium "Arithmetic days in Moscow"
June 16, 2011 14:45   
16. Categorial central extensions and reciprocity laws on algebraic surfaces. II
The joint seminar of the Sector 4.1 (IITP RAS) and Poncelet French-Russian laboratory "Arithmetic Geometry and Coding Theory"
February 28, 2011 17:30
17. Categorial central extensions and reciprocity laws on algebraic surfaces
The joint seminar of the Sector 4.1 (IITP RAS) and Poncelet French-Russian laboratory "Arithmetic Geometry and Coding Theory"
February 21, 2011 16:00
18. Introduction to the theory of algebraic stacks
Seminar on Arithmetic Algebraic Geometry
November 10, 2010 11:00
19. Гармонический анализ на локальных полях и пространствах аделей арифметических поверхностей
Seminar on Arithmetic Algebraic Geometry
April 28, 2010 14:00
20. Гармонический анализ на локальных полях и пространствах аделей арифметических поверхностей
Seminar on Arithmetic Algebraic Geometry
April 7, 2010 14:00
21. Центральные расширения группы группоидом Пикара и законы взаимности на алгебраической поверхности
Seminar of the Department of Algebra
March 23, 2010 15:00
22. Гармонический анализ на двумерных локальных полях и пространствах аделей алгебраических поверхностей над конечным полем
Seminar on Arithmetic Algebraic Geometry
April 2, 2009 13:00
23. Формальные группы, возникающие из формальных проколотых лент
Seminar of the Department of Algebra
March 4, 2008 15:00
24. Теория характеров в 2-представлениях
Seminar on Arithmetic Algebraic Geometry
March 6, 2007 11:30
25. Многомерное соответствие Кричевера–Паршина
Seminar of the Department of Geometry and Topology "Geometry, Topology and Mathematical Physics", Steklov Mathematical Institute of RAS
October 11, 2006
26. Законы взаимности для символов и диаграмма Янга–Бакстера
Seminar of the Department of Algebra
October 18, 2005
27. Грассманиан Сато, детерминантное расслоение и КП-иерархия
Seminar on Arithmetic Algebraic Geometry
April 20, 2005
28. Многомерные локальные поля и соответствие Кричевера для алгебраических многообразий
Seminar of the Department of Geometry and Topology "Geometry, Topology and Mathematical Physics", Steklov Mathematical Institute of RAS
March 16, 2005
29. Введение в абелевы джербы и дифференциальную геометрию на них
Seminar on Arithmetic Algebraic Geometry
November 3, 2004
30. Высшие ручные символы, комбинаторные джербы и законы взаимности Паршина (продолжение)
Seminar on Arithmetic Algebraic Geometry
October 20, 2004
31. Высшие ручные символы, комбинаторные джербы и законы взаимности Паршина
Seminar on Arithmetic Algebraic Geometry
October 13, 2004

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