数学所讲座-----A revisit to the affine Bernstein theorem

报告人：周斌（北京大学）

时间：2021年4月16日（周五），14：00-15：00

地点：工商楼200-9

摘要：In this talk, I will first review the Bernstein theorem for a class of fourth order equations of Monge-Ampere type, including the affine maximal surface equation and Abreu’s equation. The famous affine Bernstein theorem, also called Chern’s conjecture, was first proved by Trudinger-Wang in dimension two in 2000. Then I will present a new proof without using Caffarelli-Gutierrez’s regularity for the linearized Monge-Ampere equation. The new idea is to establish the interior estimates of the fourth order equations by partial Legendre transform.

联系人：江文帅（wsjiang@zju.edu.cn），李奇睿 (qi-rui.li@zju.edu.cn)