activity
20152023
most citedFine Deligne-Lusztig varieties and Arithmetic Fundamental Lemmas

12 citations · 49 across the 14 of their papers we have counts for

collaborators

14 papers

math.AG2023

Degrees of unitary Deligne-Lusztig varieties

Chao Li

We prove an explicit degree formula for certain unitary Deligne-Lusztig varieties. Combining with an alternative degree formula in terms of Schubert calculus, we deduce several alg…

math.NT2022

A proof of the Kudla-Rapoport conjecture for Krämer models

Qiao He, Chao Li, Yousheng Shi +1

We prove the Kudla--Rapoport conjecture for Krämer models of unitary Rapoport--Zink spaces at ramified places. It is a precise identity between arithmetic intersection numbers of s…

math.NT2021

From sum of two squares to arithmetic Siegel-Weil formulas

Chao Li

The main goal of this expository article is to survey recent progress on the arithmetic Siegel-Weil formula and its applications. We begin with the classical sum of two squares pro…

math.NT2021★ 1 cited

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.NT2021★ 2 cited

Chow groups and -derivatives of automorphic motives for unitary groups, II

Chao Li, Yifeng Liu

In this article, we improve our main results from \emph{Chow groups and -derivatives of automorphic motives for unitary groups} in two direction: First, we allow ramified places…

math.NT2020★ 6 cited

Chow groups and -derivatives of automorphic motives for unitary groups

Chao Li, Yifeng Liu

In this article, we study the Chow group of the motive associated to a tempered global -packet of unitary groups of even rank with respect to a CM extension, whose global ro…