ABSTRACT

In this talk, I will introduce the space H of almost calibrated (1,1) forms on a compact Kahler manifold, which plays an important role in the study of the deformed Hermitian-Yang-Mills equation. I will show that H is an infinite dimensional Riemannian manifold with non-positive sectional curvature. Then I will focus on the hypercritical phase case and present two results: (1) the completion of H is a CAT(0) geodesic metric space; (2) the optimal C^{1,1} regularity of geodesics. This is a joint work with Tristan C. Collins and Man-Chun Lee.

BRIEF BIO

Dr. Jianchun Chu is currently a Boas Assistant Professor at Northwestern University. He received his Ph.D. in mathematics from Peking University in 2017 under the supervision of Professor Gang Tian. His research focuses on differential geometry, geometric analysis and partial differential equations.

ZOOM INFO

ID: 660-6900-1883

PIN: 095605

For more information about this seminar, please see below.

【Wednesday Online Seminar on Geometric Analysis】

This is the 4th 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. (BST) 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)