36 citations · 186 across the 34 of their papers we have counts for
42 papers
Rost nilpotence for twisted Milnor hypersurfaces
Charles De Clercq, Evan Marth, Kirill Zainoulline
We show that the strong Rost nilpotence holds for motives of generic hyperplane sections of twisted Milnor hypersurfaces. Hence, we provide a new family of examples of smooth proje…
Motivic Lefschetz theorem for twisted Milnor hypersurfaces
Rui Xiong, Kirill Zainoulline
We show that the Grothendieck-Chow motive of a smooth hyperplane section of an inner twisted form of a Milnor hypersurface splits as a direct sum of shifted copies of the m…
Nil-Hecke rings and the Schubert calculus
Edward Richmond, Kirill Zainoulline
The purpose of the present notes is to give a self-contained exposition on the use of the techniques of Nil-Hecke algebras in the localization approach to the equivariant Schubert…
Structure algebras, Hopf algebroids and oriented cohomology of a group
Martina Lanini, Rui Xiong, Kirill Zainoulline
We prove that the structure algebra of a Bruhat moment graph of a finite real root system is a Hopf algebroid with respect to the Hecke and the Weyl actions. We introduce new techn…
The canonical dimension of a semisimple group and the unimodular degree of a root system
Kirill Zainoulline
We produce a short and elementary algorithm to compute an upper bound for the canonical dimension of a spit semisimple linear algebraic group. Using this algorithm we confirm previ…
Geometric properties of the Kazhdan-Lusztig Schubert basis
Cristian Lenart, Changjian Su, Kirill Zainoulline +1
We study classes determined by the Kazhdan-Lusztig basis of the Hecke algebra in the -theory and hyperbolic cohomology theory of flag varieties. We first show that, in -theor…