Abstract: 

Motivated by isometric embedding problems, E.Heinz proved interior C^2 estimate for 2-d Monge-Ampere equations.
In this talk, I will introduce a new pointwise approach to the 2-d Monge-Ampere equation.

Speaker：

Guohuan Qiu

Guohuan Qiu is currently an associate professor (tenure track) at Institute of Mathematics, AMSS, CAS. He obtained his bachelor from Northwest University in 2009 and received Ph.D. at USTC under the supervision of Prof. Xinan Ma in 2016. Then he has been a postdoc at McGill University and Research Assistant Professor at CUHK. He joint Institute of Mathematics this september. He was awarded Zhong Jiaqing Mathematics Award in 2019.

His research focuses on Geometric PDEs. With collaborators, He solved Neumann problem for k-Hessian equations, interior hessian estimate for convex solutions to quadratic hessian equations. The results are published in Duke Math. J., Comm. Math. Phys.

Zoom:

https://us02web.zoom.us/j/88403272402?pwd=aFZuaVRQSWQrT0psN243Zngzbk1WQT09