Local arithmetic Siegel--Weil formulas for quadratic forms with almost self-dual level
Time: 2024-02-21
Published By: Yiyi Ye
Speaker(s): Zhiyu Zhang(Stanford University)
Time: 15:30-16:30 February 22, 2024
Venue: 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.