Victor Reiner: cyclic descents.

Abstract

Descents in permutations and tableaux arise frequently in combinatorics. More recently, cyclic notions of descents have come up for permutations, and for standard tableaux of certain shapes. I'll talk about recent work resolving the question of exactly which shapes have such a notion of cyclic descents for their tableaux. This leads to a connection with Postnikov's work on toric shapes, and to several questions.