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Zu Chongzhi Center Mathematics Research Seminar

Speaker: Dr. Yuan Yuan – Associate Professor in Mathematics at Syracuse University

Time: Monday, Jan 24, 2022, 10:30-11:30 am 

Location: CC 1103 

Zoom ID: 963 2955 3995

Title:  Weighted Sobolev regularity of the Bergman projection on symmetrized Bidisk

Abstract

The regularity of Bergman projection is one of the classical problems in complex analysis. L^p and Sobolev regularities on some domains with nonsmooth boundary (e.g. Hartogs triangle, quotient domains) have been studied intensively recently. The symmetrized bidisk is another interesting model of non-smooth domains. In this talk, I will discuss the regularity of the Bergman projection on the weighted Sobolev space over the symmetrized bidisk. This is a joint work with L. Chen and M. Jin.

Speaker bio:

Dr. Yuan Yuan is an Associate Professor in Mathematics at Syracuse University. He received his bachelor’s degree from Peking University in 2004 and got his Ph.D from Rutgers University in 2010. After serving as a Postdoc at Johns Hopkins University, Yuan joined Syracuse University in 2013. His research interests include several complex variables and Kähler geometry, in particular rigidity problems and canonical Kähler metrics.