Number Theory

Title: A p-adic Jacquet-Langlands Correspondence
Speaker: Erick Knight
Speaker Info: Harvard University
Brief Description:
Special Note:

I will construct a $p$-adic Jacquet-Langlands correspondence, which is a correspondence between Banach space representations of $\text{GL}_2(\mathbb{Q}_p)$ and Banach space representations of the unit group of the quaternion algebra $D$ over $\mathbb{Q}_p$. The correspondence satisfies local-global compatibility with the completed cohomology of Shimura curves, as well as a compatibility with the classical Langlands correspondence, in the sense that the $D^\times$ representations can often be shown to have the expected locally algebraic vectors.
Date: Monday, October 26, 2015
Time: 4:00PM
Where: Lunt 107
Contact Person: Yifeng LIu
Contact email: liuyf@math.northwestern.edu
Contact Phone:
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