Geometry Seminar

Date: April 8, 2022

Time: 4:00PM - 5:00PM

Location: BLOC 302

Speaker: Reuven Hodges, UCSD

Title: Classifying Levi-spherical Schubert varieties

Abstract: A Schubert variety in the complete flag variety GL_n/B is Levi-spherical if the action of a Borel subgroup in a Levi subgroup of a standard parabolic subgroup has an open dense orbit. I will present some recent work, joint with Alexander Yong and Yibo Gao, giving a classification of Levi-spherical Schubert varieties in terms of spherical elements of a symmetric group. As part of this we will discuss the combinatorics of Demazure modules and their key polynomials. I will also discuss a conjectural extension of the classification to other Lie types.