Speaker :
 TzuJan Li (Academia Sinica) 
Title :

Learning Seminar on Integral Hecke Algebras: finiteness on the group side 
Time :
 20230530 (Tue) 14:00  16:00 
Place : 
Seminar Room 638, Institute of Mathematics (NTU Campus) 
Abstract: 
For a $p$adic reductive group $G$, assuming properties of the FarguesScholze morphism from the excursion algebra of the dual of $G$ to the Bernstein center of $G$, we shall show that every finitely generated smooth $R[G]$module is $\mathfrak{Z}$finite in the sense of DatHelmKurinczukMoss, where $R$ is a noetherian $\mathbb{Z}_\ell$ algebra with $\ell\neq p$. This result will lead to finiteness results for the Hecke algebras of $G$.
