Title: A survey of the papers on the Hoelder continuouity of complex Monge-Ampere equation

Speaker: Wang Feng (PKU)

Venue: Room 09 at Quan-Zhai (全斋), BICMR, Peking University

Time: Sep 25, 2012, Tuesday , 10:00 - 12:00 a.m.

Abstract: The lecturer gave us a talk on the result in the paper of DEMAILLY-DINEW-GUEDJ-KOLODZIEJ- ZERIAHI last week. Their argument relies on the stability theorem of Monge-Ampere equation and a good way to construct a comparison function . So I will tell something in Kolodziej's previous paper to see why his method wasn't good enough to get the same exponent. There is an example( given in the paper) to show that the exponent can't exceed 2/qn. So their result is asymptotically optimal, and we will discuss this.