ABSTRACT

In this talk, we will consider harmonic functions on manifolds with lower Ricci curvature and noncollasped volume. We will get uniform estimate for the nodal set and the critical set. The proof depends on an almost monotone frequency estimate, a quantitative decomposition theorem, and a linear control estimate by frequency. Part of the work is based on joint work with Jianchun Chu and Huabin Ge. 

BRIEF BIO

Dr. Wenshuai Jiang is currently an associate professor of School of Mathematical Sciences at Zhejiang University in China. He graduated with a bachelor degree in mathematics from Nanjing University in 2011, and completed his Ph.D in mathematics at Peking University in 2016 under the supervision of Professor Gang Tian. His research interests lie primarily in differential geometry and geometric analysis.  

ZOOM INFO

ID: 896-892-642

PIN: 015743

For more information about this seminar, please see below.

【Wednesday Online Seminar on Geometric Analysis】

This is the first 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 usuallu 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)