Speaker: Jingrui Cheng, Stony Brook University

Time: 9:00-10:00 am, March 15, 2023, GMT+8

Venue: Zoom Meeting ID: 854 4811 2768 Passcode: 555154

Abstract:

The classical estimate by Caffarelli shows that a strictly convex solution to the real Monge-Ampere equations has W^{2,p} regularity if the right hand side is close to a constant. We partially generalize this result to the complex version, when the underlying solution is close to a smooth strictly plurisubharmonic function. The additional assumption we impose is related to the lack of Pogorelov type estimate in the complex case. The talk is based on joint work with Yulun Xu.

Biography:

Jingrui Cheng is currently an assistant professor at Stony Brook University. He obtained his PhD from university of Wisconsin-Madison in 2018 under the supervision of Mikhail Feldman and Xiuxiong Chen. His research focuses on partial differential equations and their applications to geometry.

Source: School of Mathematical Sciences