Title:Combinatorial rules for the geometry of Hessenberg varieties
progressions
| Speaker | Mike Cummings |
| Affiliation | University of Waterloo |
| Location | MC 5479 |
Abstract:
Hessenberg varieties were introduced by De Mari, Procesi, and Shayman in the early 1990s and lie at the intersection of geometry, representation theory, and combinatorics. In 2012, Insko and Yong studied a class of Hessenberg varieties using patch ideals, a technique dating back to at least the 1970s from the study of Schubert varieties. In this talk, we will derive patch ideals and use them to study two classes of Hessenberg varieties. We will see the combinatorics that govern the behaviour of these patch ideals and translate these results to the geometric setting. Based in part on work with Sergio Da Silva, Megumi Harada, and Jenna Rajchgot.
There will be a pre-seminar presenting relevant background at the beginning graduate level starting at 1pm,