Automorphisms of GKM graphs and regular semisimple Hessenberg varieties
Speaker:
Mikiya Masuda, Osaka Central Advanced Mathematical Institute
Date and Time:
Monday, August 19, 2024 - 9:15am to 10:00am
Location:
Fields Institute, Room 230
Abstract:
I will introduce the automorphism group of a GKM graph and show that its analysis provides some information on the automorphism group of a smooth projective GKM manifold. Especially, we observe this for regular semisimple Hessenberg varieties which are smooth subvarieties of the full flag variety.
The automorphism group of a GKM graph can be defined naturally but it seems that no one studied this before. This talk is based on joint work with Donghoon Jang, Shintaro Kuroki, Takashi Sato, and Haozhi Zeng.
