On base change of family of p-adic automorphic forms
主 题: On base change of family of p-adic automorphic forms
报告人: Zhengyu Xiang (Shanghai Center for Mathematical Sciences & Fudan University)
时 间: 2015-01-08 14:00-16:00
地 点: Room 9 at Quan Zhai, BICMR（主持人：刘若川）
Let $F$ be a totally real field and $E/F$ a cyclic extension such that $Gal(E/F)=<\sigma>$. Let $G$ be a reductive group over $F$. We set up a "trace formula" type equation for finite slope character distributions under the assumption of some results of classical base change theory. Then we can prove that there is an analytic map from the eigenvariety of $G_/F$ to the eigenvariety of $G_/E$. It gives a base change lifting of a family of p-adic automorphic forms of $G_/F$ to a family of $\sigma$-stable p-adic automorphic forms of $G_/E$.