Geometric Representation Theory Seminar

Organizer：

Lin Chen, Will Donovan, Penghui Li, Peng Shan, Changjian Su, Wenbin Yan

Speaker：

Huanhuan Yu 余欢欢 (BICMR)

Time：

Fri., 15:30-16:30, Mar. 7, 2025

Venue：

B626, Shuangqing Complex Building A

Title:

A refinement of the Coherence Conjecture of Pappas-Rapoport

Abstract：

The Coherence Conjecture of Pappas-Rapoport, proven by X. Zhu, establishes a relationship between the geometry of different affine Schubert varieties, notably providing dimension equalities for the sections of line bundles on (unions of) affine Schubert varieties in different affine partial flag varieties. In this talk, I will present a refinement of this conjecture, demonstrating that these spaces of global sections are isomorphic as representations of certain group. I will also discuss applications of this result, particularly to affine Demazure modules, accompanied by concrete examples. This is joint work with Jiuzu Hong.