Séminaire Algèbre ICJ

Calcul de Schubert hyperbolique et base de Kazhdan-Lusztig

by Mr Kirill Zainoulline (Ottawa)

salle 112 (bâtiment Braconnier)

salle 112

bâtiment Braconnier

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.