Functional Inequality, Stochastic Heat Equation and Ricci Flow in a Riemannian manifold
are three important directions in Mathematical Research.
In this talk, we will first introduce the recent development of functional inequalities on path space over a Riemannian manifold. Next, we will talk about the stochastic heat equations in a manifold and related results. Finally, the close connection between functional inequality and stochastic heat equation and Ricci flow will discussed. 

海报