Thursday, June 16, 2022

Thursday, June 16, 2022 — 1:00 PM EDT

Title: 1-skeleton posets of Bruhat interval polytopes

Speaker Christian Gaetz Affiliation Harvard University Room: MC 5479 or please contact Olya Mandelshtam for Zoom Link

Abstract:  Bruhat interval polytopes are a well-studied class of generalized permutohedra which arise as moment map images of various toric varieties and totally positive spaces in the flag variety. I will describe work in progress in which I study the 1-skeleta of these polytopes, viewed as posets interpolating between weak order and Bruhat order. In many cases these posets are lattices and the polytopes, despite not being simple, have interesting h-vectors.

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