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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…
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…
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…
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…
Prime twists of elliptic curves
Daniel Kriz, Chao Li
For certain elliptic curves with , we prove a criterion for prime twists of to have analytic rank 0 or 1, based on a mo…