On $G$-isoshtukas over function fields
组织者
刁晗生
, 胡悦科
, 埃马纽埃尔·勒库图里耶
,
凯撒·鲁普
演讲者
Wansu Kim
时间
2022年10月25日 15:00 至 16:00
地点
Online
线上
Zoom 293 812 9202
(BIMSA)
摘要
Let $F$ be a global function field, and let $G$ be a connected reductive group over $F$. In this talk, we will introduce the notion of $G$-isoshtukas, and discuss a classification result analogous to Kottwitz' classification of local and global $B(G)$. If $G=\GL_n$ then $\GL_n$-isoshtukas are nothing but $\varphi$-spaces of rank $n$ (which naturally arise as an isogeny class of rank-$n$ Drinfeld shtukas), and our classification result for $\GL_n$-isoshtukas can be read off from Drinfeld’s classification of $\varphi$-spaces. This is a joint work with Paul Hamacher.