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                  2. [Lecture] Perelman type differential Harnack inequalities and W-entropy formulas on complete manifolds with negative Ricci curvature

                    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.


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