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Petrov, Viktor Aleksandrovich
Total publications:
28 (26)
in MathSciNet:
24 (24)
in zbMATH:
23 (23)
in Web of Science:
17 (17)
in Scopus:
17 (17)
Cited articles:
21
Citations:
392
Presentations:
12
Number of views:
This page: 4865 Abstract pages: 3912 Full texts: 1356 References: 320
Doctor of physico-mathematical sciences (2022)
E-mail:
email , email
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
https://www.mathnet.ru/eng/person36304
List of publications on Google Scholar
https://zbmath.org/authors/?q=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
Full list of publications:
Citations (Crossref Cited-By Service + Math-Net.Ru )
2023
1.
V. A. Petrov, A. V. Semenov, “Geometry of symmetric spaces of type EIII”, St. Petersburg Math. J. , 34 :6 (2023), 1055–1061
2022
2.
V. A. Petrov, A. K. Sonina, “Chow ring of horospherical varieties of Picard number one”, Problems in the theory of representations of algebras and groups. Part 38 , Zap. Nauchn. Sem. POMI, 513 , POMI, St. Petersburg, 2022, 147–163
2017
3.
V. Petrov, N. Semenov, “Rost motives, affine varieties and classifying spaces”, Journal of London Math. Soc. , 95 :3 (2017), 895–918
5
[x]
4.
V. Petrov, “A rational construction of Lie algebras of type $E_7$ ”, Journal of Algebra , 481 (2017), 348–361
4
[x]
5.
V. Petrov, “Decomposition of transvections: an algebro-geometric approach”, St. Petersburg Math. J. , 28 :1 (2017), 109–114
6.
J. Math. Sci. (N. Y.) , 222 :4 (2017), 463–465
2016
7.
S. Garibaldi, V. Petrov, N. Semenov, “Shells of twisted flag varieties and the Rost invariant”, Duke Mathematical Journal , 165 :2 (2016), 285-339
10
[x]
2015
8.
I. Panin, V. Petrov, “Rationally isotropic exceptional projective homogeneous varieties are locally isotropic”, Documenta Mathematica , 2015, Extra volume Merkurjev, 491-500
2013
9.
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
22
[x]
2012
10.
V. Gorbounov, V. Petrov, “Schubert calculus and singularity theory”, Journal of Geometry and Physics , 62 (2012), 352-360
4
[x]
11.
V. Petrov, N. Semenov, “Generically split projective homogeneous varieties. II”, Journal of K-Theory , 10 :1 (2012), 1-8
4
[x]
2011
12.
V. Petrov, A. Stavrova, “Tits indices over semilocal rings”, Transformation groups , 16 (2011), 193-217
13
[x]
2010
13.
V. Petrov, N. Semenov, “Generically split projective homogeneous varieties”, Duke Mathematical Journal , 152 :1 (2010), 155-173
10
[x]
14.
R. Hazrat, V. Petrov, N. Vavilov, “Relative subgroups in Chevalley groups”, Journal of K-Theory , 5 :3 (2010), 603-618
12
[x]
2009
15.
V. Petrov, A. Stavrova, “Elementary subgroups in isotropic reductive groups”, St. Petersburg Math. J. , 20 :4 (2009), 625-644
2008
16.
V. Petrov, N. Semenov, K. Zainoulline, “Zero cycles on a twisted Cayley plane”, Canadian Mathematical Bulletin , 51 :1 (2008), 114-124
5
[x]
17.
V. Petrov, N. Semenov, K. Zainoulline, “J-invariant of linear algebraic groups”, Annales Scientifiques de l'Ecole Normale Superieure , 41 :6 (2008), 1023-1053
36
[x]
18.
N. A. Vavilov, V. A. Petrov, “Overgroups of $\mathrm{EO}(n,R)$ ”, St. Petersburg Math. J. , 19 :2 (2008), 167–195
2006
19.
B. Calmes, V. Petrov, N. Semenov, K. Zainoulline, “Chow motives of twisted flag varieties”, Compositio Mathematica , 142 :4 (2006), 1063-1080
9
[x]
2004
20.
N. A. Vavilov, V. A. Petrov, “On supergroups of $\mathrm{Ep}(2l,R)$ ”, St. Petersburg Math. J. , 15 :4 (2004), 515–543
2005
21.
V. A. Petrov, “A combinatorial description of the highest orbit of elementary unitary groups”, J. Math. Sci. (N. Y.) , 130 :3 (2005), 4767
22.
V. A. Petrov, “Odd unitary groups”, J. Math. Sci. (N. Y.) , 130 :3 (2005), 4752–4766
2003
23.
V. Petrov, “Overgroups of unitary groups”, K-Theory , 29 :3 (2003), 147-174
33
[x]
24.
A. Bak, V. Petrov, G. Tang, “Stability for quadratic K1”, K-Theory , 30 :1 (2003), 1-11
21
[x]
2004
25.
N. A. Vavilov, V. A. Petrov, “Variations on a theme of Higman”, J. Math. Sci. (N. Y.) , 124 :1 (2004), 4708–4710
2003
26.
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.
Tits construction and the Rost invariant V. A. Petrov
Beijing–Moscow Mathematics Colloquium May 10, 2024 12:00
2.
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
3.
On the derived category of a smooth projective variety with a torus action V. A. Petrov
Shafarevich Seminar October 31, 2023 15:00
4.
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
5.
Morava K(2)-motives and the Rost invariant V. A. Petrov
Iskovskikh Seminar March 23, 2023 18:00
6.
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
7.
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
8.
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
9.
Алгебры Хопфа и мотивы однородных многообразий V. A. Petrov
November 9, 2022 15:00
10.
Isotropy of Tits construction V. A. Petrov
International Conference "Advances in Algebra and Applications" June 23, 2022 15:50
11.
Symmetric spaces, Lie triple systems and a construction of Rosenfeld planes V. A. Petrov
Matsbornik-150: algebra, geometry, analysis November 7, 2016 15:00
12.
Конструкция групп типа $Е_7$ по набору кватернионных алгебр V. A. Petrov
Traditional winter session MIAN–POMI December 18, 2014 11:15
Organisations