Cohen-Macaulayness of Local Models via Shellability of the Admissible Set

：Felix Schremmer（香港大学）
：2026-03-05 14:30
：海韵园实验楼S204

报告人：Felix Schremmer（香港大学）

时  间：2026年3月5日14:30

地  点：海韵园实验楼S204

内容摘要:

Shimura varieties play a central role in the Langlands program. In many arithmetic applications, one studies their integral models, which are typically constructed from moduli spaces of abelian varieties with extra structure. These are matched with certain simpler schemes, known as local models. In a joint work with Xuhua He and Qingchao Yu, we prove the Cohen-Macaulayness property of all local models by solving a conjecture of Görtz. This implies the same property for most integral models studied in the literature. Our approach relies on a careful analysis of the special fibre, which treats all root systems and residue characteristics uniformly.

个人简介：

Felix Schremmer，香港大学博士后。2022年博士毕业于德国慕尼黑理工大学，之后在何旭华教授指导下分别在香港中文大学、香港大学进行博士后研究。研究方向是Langlands纲领（算术几何与表示论的大统一理论），聚焦于仿射Deligne-Lusztig簇的几何性质及其在Shimura簇整模型研究中的应用。相关论文发表在Journal of Geometry and Physics, Forum of Mathematics (Sigma), Algebra & Number Theory 等期刊。

 

联系人：刘文飞