丘成桐中心几何与方程组周末讨论班
SEU Yau Center Geometry and PDE Weekend Seminar
为活跃中心学术氛围，促进成员间的学术交流并激发合作，丘成桐中心几何与方程组将从2022年9月末开始定期组织周末讨论班。周末研讨班将面向几何与方程组和全体中心成员、数学学院研究生及感兴趣的校内外师生。
2022年10月29日，几何与方程组第三次周末讨论班将由徐锴锐主讲，报告信息如下。
Title: Gradient estimate and Hessian matrices estimate for the heat equation under geometric flows
Speaker: Kai-Rui Xu（徐锴锐）
Time: 10:00-11:00, October 29th (Sat.), 2022 (GMT+8)
Venue: Room 1502, Yifu Architecture Building, Sipailou Campus of Southeast University, Nanjing
（东南大学四牌楼校区逸夫建筑馆丘成桐中心1502室）
Abstract:
In this talk, I will begin with some classical Gradient estimates for the heat equation on manifolds. Then I will show the gradient estimate for a nonlinear parabolic equation on weighted manifolds under a geometric flow. Furthermore, inspired by List, Q. Han and Q.S. Zhang, I will show an upper bound estimate of the Hessian matrices for the heat equation under the Ricci-Harmonic flow.
About the Speaker:
徐锴锐，东南大学数学学院在读硕士研究生。