Algebraic Combinatorics Seminar | On some quadratic algebras, Dunkl elements and type A flag varieties

Time：15:00-16:30, Jan. 05, 2023

Venue：Zoom: 482 240 1589（PW: BIMSA） Lecture room: A110 (In Sanya math forum)

Speaker：A.N. Kirillov BIMSA

Abstract

We introduce certain class of quadratic algebras together with commutative subalgebras generated by additive and multiplicative Dunkl elements correspondingly. We identify these subalgebras with cohomology and K-theories of type A flag varieties. We show that value of Schubert polynomials on additive Dunkl elements is a generating function for the corresponding Littlewood-Richardson coefficients.

We state some open problems related with our quadratic algebras(work partly joint with S Fomin).

DATEJanuary 5, 2023

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