3 citations · 8 across the 7 of their papers we have counts for
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Archimedean arithmetic Siegel--Weil formula for general weights over Shimura curves
Yifeng Liu
We prove an averaging formula for the canonical archimedean height pairing of special divisors with weights over orthogonal and unitary Shimura curves in terms of derivatives of Wh…
Bessel periods and Selmer groups over ordinary Rankin--Selberg eigenvariety
Yifeng Liu
We introduce the notion of ordinary distributions for unitary groups and their Rankin--Selberg products, based on which we (re)define the ordinary eigenvarieties. In both definite…
Anticyclotomic -adic -functions for Rankin--Selberg product
Yifeng Liu
We construct -adic -functions for Rankin--Selberg products of automorphic forms of hermitian type in the anticyclotomic direction for both root numbers. When the root number…
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…