De Xiang Tang
Let $G$ be a connected linear real reductive group with a maximal compact subgroup $K$. In this talk, we will explain an approach to study the large-time behavior of the heat kernel on the corresponding homogeneous space $G/K$ using Bismut’s formula. We will discuss how Bismut’s formula provides a natural link between the index theory and Vogan's minimal $K$-type theory. In particular, we will show that Vogan's $\lambda$-map plays a central role in the large time asymptotics analysis about the trace of the heat kernel. This talk is based on joint works with Shu Shen and Yanli Song.
De Ada Masters
De Xiang Tang
De Jacob Bradd
De Anne-Marie Aubert
De Alain Connes
De Vincent Lafforgue
