Title: The smooth locus of twisted affine Schubert varieties
Speaker: Jiuzu Hong (UNC Chapel Hill)
Speaker's URL: https://hong.web.unc.edu/
Abstract: By a theorem of Evans-Mirkovic, the smooth locus of a spherical Schubert variety in affine Grassmannian is the big Schubert cell. One may ask the similar question for Schubert varieties in twisted affine Grassmannian. It was conjectured by Haines-Richarz that similar result should be true for absolutely special types of twisted affine Grassmannian. In this talk, I will explain a proof of this conjecture. We use Zhu’s methods and results on the duality between Demazure modules and torus fixed-point subscheme of Schubert varieties. We also use global Schubert variety of parahoric Bruhat-Tits group scheme, which relates twisted and untwisted Schubert varieties. This talk is based on the joint work with Marc Besson.
URL associated with Seminar
https://research.math.osu.edu/agseminar/