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BIMSA-YMSC Tsinghua Number Theory Seminar
Iwahori-Hecke algebras for double covers over 2-adic fields
Iwahori-Hecke algebras for double covers over 2-adic fields
Organizers
Hansheng Diao
, Heng Du
, Yueke Hu
, Bin Xu
, Yihang Zhu
Speaker
Shuichiro Takeda
Time
Monday, March 16, 2026 10:00 AM - 11:00 AM
Venue
Shuangqing-B654
Abstract
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.