Séminaire Algèbre ICJ

Calcul de Schubert hyperbolique et base de Kazhdan-Lusztig

par M. Kirill Zainoulline (Ottawa)

Europe/Paris
salle 112 (bâtiment Braconnier)

salle 112

bâtiment Braconnier

Description
We address the problem of defining Schubert classes independently of a reduced word in equivariant cohomology theory corresponding to a hyperbolic formal group law, based on the Kazhdan-Lusztig basis of a corresponding Hecke algebra. We study some basic properties of these classes, and make two important conjectures about them: a positivity conjecture, and the agreement with the topologically defined Schubert classes in the smooth case. We prove some special cases of these conjectures.
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