Hopf-theoretic approach to motives of twisted flag varieties
V Petrov, N Semenov - Compositio Mathematica, 2021 - cambridge.org
Hopf-theoretic approach to motives of twisted flag varieties Page 1 Hopf-theoretic approach to
motives of twisted flag varieties Victor Petrov and Nikita Semenov Compositio Math. 157 (2021) …
motives of twisted flag varieties Victor Petrov and Nikita Semenov Compositio Math. 157 (2021) …
Rost motives, affine varieties, and classifying spaces
V Petrov, N Semenov - Journal of the London Mathematical …, 2017 - Wiley Online Library
In this article we investigate ordinary and equivariant Rost motives. We provide an
equivariant motivic decomposition of the variety of full flags of a split semisimple algebraic …
equivariant motivic decomposition of the variety of full flags of a split semisimple algebraic …
Oriented cohomology sheaves on double moment graphs
R Devyatov, M Lanini, K Zainoulline - Documenta Mathematica, 2019 - ems.press
In the present paper we extend the theory of sheaves on moment graphs due to Braden-
MacPherson and Fiebig to the context of an arbitrary oriented equivariant cohomology h (eg …
MacPherson and Fiebig to the context of an arbitrary oriented equivariant cohomology h (eg …
Localized operations on T-equivariant oriented cohomology of projective homogeneous varieties
K Zainoulline - Journal of Pure and Applied Algebra, 2022 - Elsevier
In the present paper we provide a general algorithm to compute multiplicative
cohomological operations on algebraic oriented cohomology of projective homogeneous G …
cohomological operations on algebraic oriented cohomology of projective homogeneous G …
Geometric properties of the Kazhdan-Lusztig Schubert basis
We study classes determined by the Kazhdan-Lusztig basis of the Hecke algebra in the $ K
$-theory and hyperbolic cohomology theory of flag varieties. We first show that, in $ K …
$-theory and hyperbolic cohomology theory of flag varieties. We first show that, in $ K …
Relative equivariant motives and modules
B Calmès, A Neshitov, K Zainoulline - Canadian Journal of …, 2021 - cambridge.org
We introduce and study various categories of (equivariant) motives of (versal) flag varieties.
We relate these categories with certain categories of parabolic (Demazure) modules. We …
We relate these categories with certain categories of parabolic (Demazure) modules. We …
[HTML][HTML] Mотивные методы в теории алгебраических групп и однородных многообразий
ВА Петров - 2022 - dissercat.com
Объектом исследования являются простые линейные алгебраические группы и их
проективные однородные многообразия над произвольным полем, предметом …
проективные однородные многообразия над произвольным полем, предметом …
[PDF][PDF] МОТИВНЫЕ МЕТОДЫ В ТЕОРИИ АЛГЕБРАИЧЕСКИХ ГРУПП И ОДНОРОДНЫХ МНОГООБРАЗИЙ 1.1. 5. Математическая логика, алгебра, теория чисел …
ВА ПЕТРОВ - disser.spbu.ru
Объектом исследования являются простые линейные алгебраические группы и их
проективные однородные многообразия над произвольным полем, предметом …
проективные однородные многообразия над произвольным полем, предметом …
[PDF][PDF] ORIENTED SHEAVES ON DOUBLE MOMENT GRAPHS
R DEVYATOV, M LANINI, K ZAINOULLINE - users.mccme.ru
In the present paper we extend the theory of sheaves on moment graphs due to Braden-
MacPherson and Fiebig to the context of an arbitrary oriented equivariant cohomology h (eg …
MacPherson and Fiebig to the context of an arbitrary oriented equivariant cohomology h (eg …
[引用][C] The Use of Linear Algebraic Groups in Geometry and Number Theory
S Garibaldi, N Lemire, R Parimala, K Zainoulline - 2015