Type: Seminar

Distribution: World

Expiry: 20 May 2014

Auth: zhangou@101.164.121.134 (zhouz) in SMS-WASM

Speaker: Dr. Bin Zhou (ANU) http://maths-people.anu.edu.au/~zhoub/ Time: Thursday, May 8, 12NOON--1PM. Room: Carslaw 707A. Lunch: seminar lunch is right after the talk. ---------------------------------------------- Title: the Bernstein Theorem for a Class of Fourth Order Equations Abstract: in this talk, we concern on a class of fourth order equations of Monge-Ampere type. In particular, affine maximal surface equation from affine geometry and Abreu’s equation arising from scalar curvature equation on toric Kahler manifolds are included. I will talk about the 2-dimensional Bernstein theorem for these equations, i.e., the entire solution to these equations must be quadratic polynomials. The main ingredients are interior estimates and the proof of strict convexity for the solutions. ---------------------------------------------- Seminar website: http://www.maths.usyd.edu.au/u/SemConf/Geometry/