3 citations · 8 across the 5 of their papers we have counts for
7 papers
Theta correspondence for almost unramified representations of unitary groups
Yifeng Liu
In this note, we introduce the notion of almost unramified representations of quasi-split unitary groups of even ranks with respect to an unramified quadratic extension of local fi…
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…
Weight decomposition of de Rham cohomology sheaves and tropical cycle classes for non-Archimedean spaces
Yifeng Liu
We construct a functorial decomposition of de Rham cohomology sheaves, called weight decomposition, for smooth analytic spaces over non-Archimedean fields embeddable into $\mathbf{…
On quadratic distinction of automorphic sheaves
Yifeng Liu
We prove a geometric version of a classical result on the characterization of an irreducible cuspidal automorphic representation of being the base cha…