ABSTRACT

The classic Gibbons-Hawking ansatz gives an exhaustive classification of complete hyperKahler four-manifolds with a free triholomorphic S^1 action.  In this talk we will extend this ansatz to the setting of generalized Kahler geometry.  Under mild global hypotheses, we give an exhaustive classification of complete generalized Kahler-Ricci solitons with a free biholomorphic S^1 action.  In physical language, we classify complete solutions to the type IIB string equations with N=(2,2) supersymmetry and free biholomorphic S^1 action.  This is joint work with Y. Ustinovskiy.

BRIEF BIO

Dr. Jeff Streets is currently a professor at the University of California, Irvine. He obtained his Ph.D. from Duke University under the supervision of Professor Mark Stern in 2007 and then did his postdoctoral studies at Princeton University under the supervision of Professor Gang Tian. His work lies primarily in geometric flows and their application to complex geometry and the geometry of four-manifolds.

ZOOM INFO

Meeting ID: 627 9166 6382

Password: 202005

https://zoom.com.cn/j/62791666382?pwd=OFljZzlYdlZYSGpQSCtZS3libUFYQT09

For more information about this seminar, please see below. 

【Wednesday Online Seminar on Geometric Analysis】

This is the 8th 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/PKU)

June 10, 2020      Yi Lai (UC Berkeley)