Yanli Song

collaborators

4 papers

math.DG2025

Higher Lefschetz formulas on Γ-proper manifolds

Paolo Piazza, Hessel Posthuma, Yanli Song +1

Let $Γ$ be a finitely generated discrete group acting properly and cocompactly on a smooth manifold M. By employing heat-kernel techniques we prove a geometric formula for the pair…

math.KT2025

Lefschetz formula for locally symmetric spaces

Yanli Song

Let $G$ be a semi-simple real Lie group of real rank one and $I^$ be a discrete subgroup in $G$ such that $I^\ G$ has finite volume. We introduce a new group $C^{*}$ -algebra…

math.KT2025

Higher Orbital Integrals on Motion Groups and Mackey Deformation

Angel RomÃ¡n, Yanli Song, Xiang Tang

We present an explicit construction of cyclic cocycles on Cartan motion groups, which can be viewed as generalizations of orbital integrals. We show that the higher orbital integra…

math.DG2025

Heat kernel, large-time behavior, and representation theory

Shu Shen, Yanli Song, Xiang Tang

Given a real reductive group $G$ , the purpose of this paper is to show an asymptotic formula of the large-time behavior of the $G$ -trace of the heat operator on the associated symm…