|Date: Friday, October 14, 2016
Location: 4088 East Hall (3:10 PM to 4:00 PM)
Title: Combinatorial description of the cohomology of the affine flag variety
Abstract: The Fomin-Kirillov algebra is a quadratic algebra containing a certain commutative subalgebra isomorphic to the cohomology of the flag variety. In this talk, we generalize the theory of Fomin-Kirillov algebras to the affine type A case. As a byproduct, we obtain the affine Schubert polynomials, polynomial representatives of the Schubert classes in the cohomology of the affine flag variety, and the Murnaghan-Nakayama rule for the affine Schubert polynomials.
Speaker: SeungJin Lee