Persons: Petrov, Viktor Aleksandrovich

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Petrov, Viktor Aleksandrovich

Total publications:	36 (32)
in MathSciNet:	24 (24)
in zbMATH:	23 (23)
in Web of Science:	17 (17)
in Scopus:	17 (17)
Cited articles:	23
Citations:	428
Presentations:	17

Number of views:
This page:	5927
Abstract pages:	5865
Full texts:	2014
References:	630

Doctor of physico-mathematical sciences (2022)

E-mail:

Keywords:

linear algebraic groups, Chow motives, oriented cohomology theories

UDC:

512.5, 519.46, 512.6, 512.7, 512.8

Subject:

Algebraic geometry

Main publications:

Petrov, V.; Semenov, N., “Hopf-theoretic approach to motives of twisted flag varieties”, Compositio Math, 157:5 (2021), 963-996
Garibaldi, S.; Petrov, V.; Semenov, N., “Shells of twisted flag varieties and the Rost invariant”, Duke Math J, 165:2 (2016), 285-339
N. Geldhauser, A. Lavrenov, V. Petrov, P. Sechin, “Morava K-theory of orthogonal groups and motives of projective quadrics”, Advances in Mathematics, 446 (2024)

https://www.mathnet.ru/eng/person36304

List of publications on Google Scholar

https://zbmath.org/authors/ai:petrov.viktor

https://mathscinet.ams.org/mathscinet/MRAuthorID/674254

https://elibrary.ru/author_items.asp?spin=8236-5252

https://orcid.org/0000-0003-4790-3621

https://www.webofscience.com/wos/author/record/J-5717-2013

https://www.scopus.com/authid/detail.url?authorId=56231066300

List of publications:

scientific publications

by years

by types

by times cited

common list

		Citations (Crossref Cited-By Service + Math-Net.Ru)


2024
1.	V. A. Petrov, G. S. Shulga, “Pukhlikov–Khovansky theorem for oriented cohomology theories”, Problems in the theory of representations of algebras and groups. Part 40, Zap. Nauchn. Sem. POMI, 531, POMI, St. Petersburg, 2024, 152–156
2.	V. Petrov, A. Semenov, “Geometry of symmetric spaces of type EVI”, Journal of Algebra, 656 (2024), 394-405
3.	Voprosy teorii predstavlenii algebr i grupp. 40, Posvyaschaetsya pamyati Nikolaya Aleksandrovicha VAVILOVA, Zap. nauchn. sem. POMI, 531, ed. A. I. Generalov, V. A. Petrov, POMI, SPb., 2024 , 241 pp.
4.	E. B. Plotkin, A. I. Generalov, N. S. Geldhauser, N. L. Gordeev, A. Yu. Luzgarev, V. V. Nesterov, I. A. Panin, V. A. Petrov, S. Yu. Pilyugin, A. V. Stepanov, A. K. Stavrova, V. G. Khalin, “Nikolai Aleksandrovich Vavilov”, Problems in the theory of representations of algebras and groups. Part 40, Zap. Nauchn. Sem. POMI, 531, POMI, St. Petersburg, 2024, 7–40

2023
5.	V. A. Petrov, A. V. Semenov, “Geometry of symmetric spaces of type EIII”, St. Petersburg Math. J., 34:6 (2023), 1055–1061

2025
6.	V. A. Petrov, A. K. Sonina, “Chow ring of horospherical varieties of Picard number one”, J. Math. Sci. (N. Y.), 288:3 (2025), 367–378

2022
7.	V. Petrov, S.W. Rigby, “The Allison-Faulkner construction of $E_8$”, Canadian Mathematical Bulletin, 65:3 (2022), 686-701

2025
8.	N. A. Vavilov, S. V. Vostokov, A. I. Generalov, N. L. Gordeev, E. V. Dybkova, I. M. Zilberbord, I. A. Panin, V. A. Petrov, K. I. Pimenov, A. A. Semjonov, A. L. Smirnov, A. V. Stepanov, “Anatoly Vladimirovich Yakovlev”, J. Math. Sci. (N. Y.), 288:3 (2025), 267–268

2021
9.	V. Petrov, N. Semenov, “Hopf-theoretic approach to motives of twisted flag varieties”, Compositio Mathematica, 157:5 (2021), 963-996	3 ^[x]

2020
10.	V. Petrov, A. Semenov, “Adjoint algebraic groups as automorphism groups of a projector on a central simple algebra”, Journal of Algebra, 560 (2020), 574-578
11.	N. A. Vavilov, S. V. Vostokov, A. I. Generalov, N. L. Gordeev, E. V. Dybkova, I. M. Zilberbord, A. S. Merkurjev, I. A. Panin, V. A. Petrov, K. I. Pimenov, A. A. Semenov, A. L. Smirnov, A. V. Stepanov, “80 anniversary of Professor Anatolii Vladimirovich Yakovlev”, Problems in the theory of representations of algebras and groups. Part 35, Zap. Nauchn. Sem. POMI, 492, POMI, St. Petersburg, 2020, 5–9

2018
12.	A. Neshitov, V. Petrov, N. Semenov, K. Zainoulline, “Motivic decompositions of twisted flag varieties and representations of Hecke-type algebras”, Advances in Mathematics, 340 (2018), 791-818	5 ^[x]

2017
13.	V. Petrov, N. Semenov, “Rost motives, affine varieties and classifying spaces”, Journal of London Math. Soc., 95:3 (2017), 895–918	5 ^[x]
14.	V. Petrov, “A rational construction of Lie algebras of type $E_7$”, Journal of Algebra, 481 (2017), 348–361	4 ^[x]
15.	V. Petrov, “Decomposition of transvections: an algebro-geometric approach”, St. Petersburg Math. J., 28:1 (2017), 109–114
16.	J. Math. Sci. (N. Y.), 222:4 (2017), 463–465

2016
17.	S. Garibaldi, V. Petrov, N. Semenov, “Shells of twisted flag varieties and the Rost invariant”, Duke Mathematical Journal, 165:2 (2016), 285-339	13 ^[x]

2015
18.	I. Panin, V. Petrov, “Rationally isotropic exceptional projective homogeneous varieties are locally isotropic”, Documenta Mathematica, 2015, Extra volume Merkurjev, 491-500

2013
19.	B. Calmes, V. Petrov, K. Zainoulline, “Invariants, torsion indices and oriented cohomology of complete flags”, Annales Scientifiques de l'Ecole Normale Superieure, 46:3 (2013), 405-448	25 ^[x]

2012
20.	V. Gorbounov, V. Petrov, “Schubert calculus and singularity theory”, Journal of Geometry and Physics, 62 (2012), 352-360	4 ^[x]
21.	V. Petrov, N. Semenov, “Generically split projective homogeneous varieties. II”, Journal of K-Theory, 10:1 (2012), 1-8	4 ^[x]

2011
22.	V. Petrov, A. Stavrova, “Tits indices over semilocal rings”, Transformation groups, 16 (2011), 193-217	14 ^[x]

2010
23.	V. Petrov, N. Semenov, “Generically split projective homogeneous varieties”, Duke Mathematical Journal, 152:1 (2010), 155-173	10 ^[x]
24.	R. Hazrat, V. Petrov, N. Vavilov, “Relative subgroups in Chevalley groups”, Journal of K-Theory, 5:3 (2010), 603-618	12 ^[x]

2009
25.	V. Petrov, A. Stavrova, “Elementary subgroups in isotropic reductive groups”, St. Petersburg Math. J., 20:4 (2009), 625-644

2008
26.	V. Petrov, N. Semenov, K. Zainoulline, “Zero cycles on a twisted Cayley plane”, Canadian Mathematical Bulletin, 51:1 (2008), 114-124	5 ^[x]
27.	V. Petrov, N. Semenov, K. Zainoulline, “J-invariant of linear algebraic groups”, Annales Scientifiques de l'Ecole Normale Superieure, 41:6 (2008), 1023-1053	39 ^[x]
28.	N. A. Vavilov, V. A. Petrov, “Overgroups of $\mathrm{EO}(n,R)$”, St. Petersburg Math. J., 19:2 (2008), 167–195

2006
29.	B. Calmes, V. Petrov, N. Semenov, K. Zainoulline, “Chow motives of twisted flag varieties”, Compositio Mathematica, 142:4 (2006), 1063-1080	9 ^[x]

2004
30.	N. A. Vavilov, V. A. Petrov, “On supergroups of $\mathrm{Ep}(2l,R)$”, St. Petersburg Math. J., 15:4 (2004), 515–543

2005
31.	V. A. Petrov, “A combinatorial description of the highest orbit of elementary unitary groups”, J. Math. Sci. (N. Y.), 130:3 (2005), 4767
32.	V. A. Petrov, “Odd unitary groups”, J. Math. Sci. (N. Y.), 130:3 (2005), 4752–4766

2003
33.	V. Petrov, “Overgroups of unitary groups”, K-Theory, 29:3 (2003), 147-174	33 ^[x]
34.	A. Bak, V. Petrov, G. Tang, “Stability for quadratic K1”, K-Theory, 30:1 (2003), 1-11	22 ^[x]

2004
35.	N. A. Vavilov, V. A. Petrov, “Variations on a theme of Higman”, J. Math. Sci. (N. Y.), 124:1 (2004), 4708–4710

2003
36.	N. A. Vavilov, V. A. Petrov, “Overgroups of $\mathrm{EO}(2l,R)$”, J. Math. Sci. (N. Y.), 116:1 (2003), 2917–2925

Presentations in Math-Net.Ru

1.	Variation of GIT quotients and combinatorics of GKM graphs V. A. Petrov Siberian summer school: Current developments in Geometry August 28, 2025 11:40
2.	Variation of GIT quotients and combinatorics of GKM graphs V. A. Petrov Siberian summer school: Current developments in Geometry August 27, 2025 09:30
3.	Variation of GIT quotients and combinatorics of GKM graphs V. A. Petrov Siberian summer school: Current developments in Geometry August 26, 2025 10:45
4.	Variation of GIT quotients and combinatorics of GKM graphs V. A. Petrov Siberian summer school: Current developments in Geometry August 25, 2025 09:30
5.	Symmetric spaces and cohomology of algebraic groups V. A. Petrov One-Day Conference Dedicated to the Memory of V. A. Iskovskikh December 26, 2024 15:30
6.	Tits construction and the Rost invariant V. A. Petrov Beijing–Moscow Mathematics Colloquium May 10, 2024 12:00
7.	Tits construction and the Rost invariant V. A. Petrov General Mathematics Seminar of the St. Petersburg Division of Steklov Institute of Mathematics, Russian Academy of Sciences December 14, 2023 13:00
8.	On the derived category of a smooth projective variety with a torus action V. A. Petrov Shafarevich Seminar October 31, 2023 15:00
9.	Morava $K(2)$-motives and the Rost invariant V. A. Petrov Joint Mathematical seminar of Saint Petersburg State University and Peking University April 13, 2023 16:00
10.	Morava K(2)-motives and the Rost invariant V. A. Petrov Iskovskikh Seminar March 23, 2023 18:00
11.	Квадратичные формы и мотивы Чжоу, лекция 3 V. A. Petrov The 10th Workshop and Conference on Lie Algebras, Algebraic Groups, and Invariant Theory February 2, 2023 12:15
12.	Квадратичные формы и мотивы Чжоу, лекция 2 V. A. Petrov The 10th Workshop and Conference on Lie Algebras, Algebraic Groups, and Invariant Theory January 31, 2023 10:00
13.	Квадратичные формы и мотивы Чжоу, лекция 1 V. A. Petrov The 10th Workshop and Conference on Lie Algebras, Algebraic Groups, and Invariant Theory January 29, 2023 11:00
14.	Алгебры Хопфа и мотивы однородных многообразий V. A. Petrov November 9, 2022 15:00
15.	Isotropy of Tits construction V. A. Petrov International Conference "Advances in Algebra and Applications" June 23, 2022 15:50
16.	Symmetric spaces, Lie triple systems and a construction of Rosenfeld planes V. A. Petrov Matsbornik-150: algebra, geometry, analysis November 7, 2016 15:00
17.	Конструкция групп типа $Е_7$ по набору кватернионных алгебр V. A. Petrov Traditional winter session MIAN–POMI December 18, 2014 11:15

Books in Math-Net.Ru

Problems in the theory of representations of algebras and groups. Part 40, Zap. Nauchn. Sem. POMI, 531, ed. A. I. Generalov, V. A. Petrov, 2024, 241 с.
http://mi.mathnet.ru/book2070

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