2 papers
math.NT2021
Fourier-Jacobi cycles and arithmetic relative trace formula (with an appendix by Chao Li and Yihang Zhu)
Yifeng Liu
In this article, we develop an arithmetic analogue of Fourier--Jacobi period integrals for a pair of unitary groups of equal rank. We construct the so-called Fourier--Jacobi cycles…
math.NT2019
Fine Deligne-Lusztig varieties and Arithmetic Fundamental Lemmas
Xuhua He, Chao Li, Yihang Zhu
We prove a character formula for some closed fine Deligne-Lusztig varieties. We apply it to compute fixed points for fine Deligne-Lusztig varieties arising from the basic loci of S…