Abstract: In this talk, I will review some main results about C^{2,alpha} estimate for complex Monge-Ampere equation first. Then I will introduce my recent work (arXiv: 1410.3354) about how to get the C^{2,alpha} estimates for complex Monge-Ampere equation with C^{alpha} right hand side, assuming a bound on the Laplacian of the solution. Then I will show that this method can be applied to complex Monge-Ampere equations with conical singularities and some fully nonlinear elliptic equations of second order in geometry.

Time: 10:10am-12:00pm, Tuesday, Oct. 21

Place: Room 29, Quan Zhai, BICMR

Speaker: CHU Jianchun, Peking University