Abstracts for the Seminar
 Discrete Geometry and Combinatorics
 Spring 2022

Speaker:  Christian Gaetz, Harvard University
Title: 1-skeleton posets of Bruhat interval polytopes
Time: 2:30 PM, Monday, January 31, 2022
Place:  Malott 206

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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