Monday, February 24, 2014 — 2:30 PM EST

Subalgebras of the Fomin-Kirillov Algebra

Speaker: Ricky Liu
Affiliation: University of Michigan
Room: Mathematics and Computer Building (MC) 5158

Abstract: 

One of the main unsolved problems in Schubert calculus is to give a combinatorial formula for the structure constants in the cohomology of the flag variety. Fomin and Kirillov introduced a noncommutative quadratic algebra in which the existence of certain monomial expansions would yield a solution to this problem. I will discuss recent efforts towards understanding the structure of the Fomin-Kirillov algebra. In particular, I will describe certain subalgebras that are surprisingly well-behaved and have properties analogous to those of finite Coxeter groups, which  suggests that they are worthy of independent interest. This is joint work with Jonah Blasiak and Karola Meszaros.

Location 
MC - Mathematics & Computer Building
5158
200 University Avenue West

Waterloo, ON N2L 3G1
Canada

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