Morningside Center of Mathematics
Chinese Academy of Sciences
Morningside Center of Mathematics
Chinese Academy of Sciences
Title: | on base change of family of p-adic automorphic forms |
Speaker: | 项征御 (上海数学中心) |
Time: | 2015-1-13, 10:30-11:30 |
Place: | 晨兴610 |
Abstract: | Let $F$ be a totally real field and $E/F$ a cyclic extension such taht $Gal(E/F)=<\sigma>$. 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 $G_/E$. |
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