Date and Time: 16:00 Sunday, January 12th, 2020.

Location: Room 216, Xingshen Building, School of Mathematical Sciences, Balitai campus.

Guest: Dr.Xiangjin Xu.

Guest’s Background: Binghamton University-SUNY,USA.

Abstract: In this talk, I first present some Perelman type differential Harnack inequalities for the heat kernels and W-entropy formulas for the positive solution of the heat equation on complete manifolds with negative Ricci lower bound. Then, I will discuss some on-going results for Li-Yau type differential Harnack inequalities and Perelman type W-entropy formulas for the Witten Laplacian on complete manifolds with negative Bakry-Emery curvature lower bound.