中科院数学与系统科学研究院
数学研究所
学术报告
表示论研讨班
报告人: 余欢欢博士（北京国际数学中心）
题 目：A refinement of the Coherence Conjecture of Pappas-Rapoport
时 间：2024.11.7（周四）下午14:30--15:30
地 点：N818
摘 要：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.
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