Special Session 172: Stochastic and geometric analysis on manifolds and metric measure spaces
On the $W$-entropy on Riemannian manifolds, metric measure spaces, Clifford algebra and quantum Markov semigroups
Xiang-Dong Li
Academy of Mathematics and Systems Science, Chinese Academy of Sciences Peoples Rep of China
Co-Author(s):
Abstract:
In 2002, G. Perelman proved the monotonicity of the $W$-entropy for the Ricci flow. Since then, the $W$-entropy has been studied for various geometric flows on Riemannian manifolds. In this talk, I`ll present some recent results on the study of the $W$-entropy on Riemannian manifolds, metric measure spaces, Clifford algebra and quantum Markov semigroups.