K
Kirill Zainoulline
Researcher at University of Ottawa
Publications - 82
Citations - 878
Kirill Zainoulline is an academic researcher from University of Ottawa. The author has contributed to research in topics: Cohomology & Linear algebraic group. The author has an hindex of 15, co-authored 80 publications receiving 814 citations. Previous affiliations of Kirill Zainoulline include University of Alberta & Bielefeld University.
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J-invariant of linear algebraic groups
TL;DR: In this paper, the authors introduce le J-invariant de G which caracterises le comportement motivique de X and generalise le J invariant defini par A. Vishik dans le cadre des formes quadratiques.
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Invariants, torsion indices and oriented cohomology of complete flags
TL;DR: In this article, the authors generalize the classical work of Demazure [Invariants symetriques entiers des groupes de Weyl et torsion] to arbitrary oriented cohomology theories and formal group laws.
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Oriented cohomology and motivic decompositions of relative cellular spaces
TL;DR: For an oriented cohomology theory A and a relative cellular space X, the authors decompose the A -motive of X into a direct sum of twisted motives of the base spaces.
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Invariants, torsion indices and oriented cohomology of complete flags
TL;DR: In this paper, the authors generalize the classical work of Demazure [Invariants symetriques entiers des groupes de Weyl et torsion] to arbitrary oriented cohomology theories and formal group laws.
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Formal Hecke algebras and algebraic oriented cohomology theories
Alex Hoffnung,Alex Hoffnung,Jose Malagon-Lopez,Jose Malagon-Lopez,Alistair Savage,Kirill Zainoulline +5 more
TL;DR: In this paper, the authors generalize the construction of the nil Hecke ring of Kostant-Kumar to the context of an arbitrary algebraic oriented cohomology theory of Levine-Morel and Panin-Smirnov, e.g. to Chow groups, Grothendieck's K_0, connective K-theory, elliptic cohomologies, and algebraic cobordism.