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Title: Quasisymmetric varieties, excedances, and bases for the Temperley--Lieb algebra

Speaker: Lucas Gagnon Affiliation: York University Location: MC 6029 please contact Olya Mandelshtam for Zoom link

Abstract:  This talk is about finding a quasisymmetric variety (QSV): a subset of permutations which (i) is a basis for the Temperley--Lieb algebra TL_n(2), and (ii) has a vanishing ideal (as points in n-space) that behaves similarly to the ideal generated by quasisymmetric polynomials.   While this problem is primarily motivated by classical (co-)invariant theory and generalizations thereof, the course of our investigation uncovered a number of remarkable combinatorial properties related to our QSV, and I will survey these as well.