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Iwahori-Hecke algebras for double covers over 2-adic fields

组织者

刁晗生 , 杜衡 , 胡悦科 , Bin Xu , Yihang Zhu

演讲者

Shuichiro Takeda

时间

2026年03月16日 10:00 至 11:00

地点

Shuangqing-B654

摘要

Let $G$ be a simply connected Chevalley group over a $p$-adic field. It is known that the Iwahori-Hecke algebra of $G$ admits an Iwahori-Matsumoto (IM) presentation. Savin has shown in 2005 that a double cover of $G$ also admits an IM presentation, assuming that $G$ is simply laced and $p$ is odd. In this talk, I will discuss how to obtain the analogous IM presentation when $p$ is even, still assuming $G$ is simply laced. This is a joint work with E. Karasiewicz.