Mixed cycles on GSpin Rapoport-Zink space with special maximal parahoric level structure
发布时间:2024年12月31日
浏览次数:154
发布者: Wenqiong Li
主讲人: Baiqing Zhu(Columbia University)
活动时间: 从 2025-01-02 14:30 到 15:30
场地: 请选择
Abstract:
For an almost self-dual quadratic lattice L, we introduce new kinds of special cycles called mixed cycles, in the spirit of Kudla and Rapoport, on the GSpin Rapoport-Zink space associated to L. We formulate and prove a local arithmetic Siegel-Weil formula relating intersection numbers of mixed cycles and derivatives of Whittaker functions on a modified model of the original Rapoport-Zink space. I will also explain some low-dimensional examples. This is joint work with Qiao He and Zhiyu Zhang.
Time:
2025/1/2,14:30-15:30