Title: Vanishing theorems for torsion automorphic sheaves
Speaker: Kai-Wen Lan
Speaker Info: Princeton/IAS
Brief Description:
Special Note:
Abstract:
Given a compact PEL-type Shimura variety, a sufficiently regular weight (defined by mild and effective conditions), and a prime number p unramified in the linear data and larger than an effective bound given by the weight, we show that the etale cohomology with Z_p-coefficients of the given weight vanishes away from the middle degree, and hence has no p-torsion. (This is joint work with Junecue Suh.)Date: Monday, February 22, 2010