Presented By: Department of Mathematics
Combinatorics
Combinatorial description of the cohomology of the affine flag variety
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(s): SeungJin Lee (KIAS)
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