Local arithmetic Siegel--Weil formulas for quadratic forms with almost self-dual level
发布时间:2024年02月21日
浏览次数:1356
发布者: Yiyi Ye
主讲人: Zhiyu Zhang(Stanford University)
活动时间: 从 2024-02-22 15:30 到 16:30
场地: Room 77201, Jingchunyuan 78, BICMR
Abstract:
This is a joint work with Qiao He and Baiqing Zhu. We define a vector-valued version of Kudla--Rapoport cycles on GSpin Rapoport--Zink spaces with almost self-dual level. We establish local vector-valued arithmetic Siegel--Weil formulas for these special cycles and certain local Whittaker functions via reduction to the unramified case proved by Li-Zhang.