Entropy and Harnack for the heat equations associated to the geometric flows

发布时间：2021-10-08 作者：浏览次数：

Speaker:	郭洪欣	DateTime:	2021年10月14日（周四）下午2:00-3:00
Brief Introduction to Speaker: 郭洪欣，温州大学。		Place:	腾讯会议，会议号请联系程亮老师
Abstract:In this talk, we first revisit Perelman’s W-entropy for the Ricci flow. We show how the classical Boltzmann entropy leads to Perelman’s formula and by this technique we present new monotonicity formulas for the Gaussian curvature flow and the curve shortening flow. We show the correspondence between entropy monotonicity and Harnack inequality. As applications we present alternate proofs of some known entropy estimates and Harnack inequalities.