A Refinement of the Coherence Conjecture of Pappas-Rapoport
发布时间：2024年12月24日
浏览次数：48
发布者: He Liu
主讲人： 余欢欢（数学中心）
活动时间： 从 2024-12-26 15:00 到 16:00
场地： 北京国际数学研究中心，镜春园78号院（怀新园）77201室
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.
