# $C^0$ Estimates for Conformally Invariant Equations on Locally Conformally Flat Manifolds with Umbilic Boundary

 GEOMETRIC PDE SEMINAR Topic: $C^0$ Estimates for Conformally Invariant Equations on Locally Conformally Flat Manifolds with Umbilic Boundary Speaker: Hoai-Minh Nguyen Affiliation: Member, School of Mathematics Date: Tuesday, February 10 Time/Room: 3:30pm - 4:30pm/S-101

In recent years, fully nonlinear versions of the Yamabe problem have received much attention. In particular, for manifolds with boundary, $C^1$ and $C^2$a priori estimates have been proved for a large class of data. To get an existence result, it is important to establish a C0 bound. I will describe my joint work with Yanyan Li in this direction for locally conformally flat manifolds with umbilic boundary.