3 papers
math.DG2025
Simplicial sheaves of modules and Morita invariance of groupoid cohomology
Xiang Tang, Joel Villatoro
In this article we develop a unified framework for proving Morita invariance of cohomology theories associated to Lie groupoids. Our approach is to view these cohomology theories a…
math.KT2025
Higher Orbital Integrals on Motion Groups and Mackey Deformation
Angel Román, 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 , the purpose of this paper is to show an asymptotic formula of the large-time behavior of the -trace of the heat operator on the associated symm…