ABSTRACT

I will describe some recent work (partly with Yong Wei, Changwei Xiong, Yitao Lei and Xuzhong Chen) on fully nonlinear geometric heat flows for hypersurfaces, and their applications to prove geometric inequalities. A large family of flows involving elementary symmetric functions of curvature can be considered as`gradient flows' (in a generalised sense) for natural geometric quantities such as quermassintegrals. We consider several variations on this, including volume-preserving flows where we are able to prove rather complete results, both in Euclidean space and in hyperbolic space. 

BRIEF BIO

Dr. Ben Andrews is currently ARC Laureate Professor of Mathematics at the Australian National University. He obtained his PhD under the supervision of Gerhard Huisken in 1994, and worked at Stanford University before returning to an ARC QEII Fellowship at ANU in 1998. He was elected to the Australian Academy of Science in 2013.  His research has involved geometric flows and other geometric PDE including eigenvalue inequalities.

ZOOM INFO 

ID: 645 8847 3405

Password: 912217

https://zoom.com.cn/j/64588473405?pwd=a3VDV3B1OFltNUwzMTE1Si83OXVpUT09

For more information about this seminar, please see below.

【Wednesday Online Seminar on Geometric Analysis】

This is the 11th talk of Wednesday online seminar on geometric analysis, which is an online seminar organized by Prof. Gang Tian, Prof. Jie Qing, Prof. Zhenlei Zhang, and Prof. Xiaohua Zhu. The seminar is scheduled 9:30 - 10:30 a.m. (Beijing time) every Wednesday via Zoom. 

Below is a list of invited speakers:

April 8, 2020        Wenshuai Jiang (Zhejiang University)

April 15, 2020      Chi Li (Purdue University)

April 22, 2020      Lu Wang (Caltech)

April 29, 2020      Jianchun Chu (Northwestern University)

May 6, 2020         Richard Bamler (UC Berkeley)

May 13, 2020       Xin Zhou (UC Santa Barbara)

May 20, 2020       Daniel Stern (University of Toronto)

May 27, 2020       Jeff Streets (UC Irvine)

June 3, 2020         Chenyang Xu (MIT)

June 10, 2020       Yi Lai (UC Berkeley)

June 17, 2020      Ben Andrews (Australian National University)

June 24, 2020       Shiguang Ma (Nankai University) 

July 1, 2020           Yuchen Liu (Yale University)

July 6, 2020           Shiwu Yang (Peking University)