Persons: Petrov, Viktor Aleksandrovich

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Petrov, Viktor Aleksandrovich

Statistics Math-Net.Ru
in MathSciNet:	24 (24)
in zbMATH:	23 (23)
in Web of Science:	17 (17)
in Scopus:	17 (17)

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

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.	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.
3.	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
4.	V. A. Petrov, A. V. Semenov, “Geometry of symmetric spaces of type EIII”, St. Petersburg Math. J., 34:6 (2023), 1055–1061

2022
5.	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
6.	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”, Problems in the theory of representations of algebras and groups. Part 38, Zap. Nauchn. Sem. POMI, 513, POMI, St. Petersburg, 2022, 5–8

2020
7.	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

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

2016
12.	S. Garibaldi, V. Petrov, N. Semenov, “Shells of twisted flag varieties and the Rost invariant”, Duke Mathematical Journal, 165:2 (2016), 285-339	11 ^[x]

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

2013
14.	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	23 ^[x]

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

2011
17.	V. Petrov, A. Stavrova, “Tits indices over semilocal rings”, Transformation groups, 16 (2011), 193-217	13 ^[x]

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

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

2008
21.	V. Petrov, N. Semenov, K. Zainoulline, “Zero cycles on a twisted Cayley plane”, Canadian Mathematical Bulletin, 51:1 (2008), 114-124	5 ^[x]
22.	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]
23.	N. A. Vavilov, V. A. Petrov, “Overgroups of $\mathrm{EO}(n,R)$”, St. Petersburg Math. J., 19:2 (2008), 167–195

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

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

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

2003
28.	V. Petrov, “Overgroups of unitary groups”, K-Theory, 29:3 (2003), 147-174	33 ^[x]
29.	A. Bak, V. Petrov, G. Tang, “Stability for quadratic K1”, K-Theory, 30:1 (2003), 1-11	21 ^[x]

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

2003
31.	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.	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
2.	Tits construction and the Rost invariant V. A. Petrov Beijing–Moscow Mathematics Colloquium May 10, 2024 12:00
3.	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
4.	On the derived category of a smooth projective variety with a torus action V. A. Petrov Shafarevich Seminar October 31, 2023 15:00
5.	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
6.	Morava K(2)-motives and the Rost invariant V. A. Petrov Iskovskikh Seminar March 23, 2023 18:00
7.	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
8.	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
9.	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
10.	Алгебры Хопфа и мотивы однородных многообразий V. A. Petrov November 9, 2022 15:00
11.	Isotropy of Tits construction V. A. Petrov International Conference "Advances in Algebra and Applications" June 23, 2022 15:50
12.	Symmetric spaces, Lie triple systems and a construction of Rosenfeld planes V. A. Petrov Matsbornik-150: algebra, geometry, analysis November 7, 2016 15:00
13.	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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