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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
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…