A revisit to the affine Bernstein theorem

Speaker: Zhou Bin (Peking University)

Time: 2:00-3:00PM, 2021-4-16

Online Seminar:Room 200-9 , Sir Run Run Shaw Business Administration Building

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.

Contact Person: Jiang Wenshuai（wsjiang@zju.edu.cn）,Li Qirui(qi-rui.li@zju.edu.cn)