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