Séminaire Algèbre ICJ

Calcul de Schubert hyperbolique et base de Kazhdan-Lusztig

par M. 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.
Your browser is out of date!

Update your browser to view this website correctly. Update my browser now