EVENT DETAILS AND ABSTRACT

Title: Parabolic equations and the Ricci flow on manifolds with boundary
Speaker: Artem Pulemotov
Speaker Info: University of Chicago
Brief Description:
Special Note:
Abstract:

In the first part of the talk, we will focus on a second-order quasilinear parabolic equation in a vector bundle over a compact manifold M with boundary. Our goal is to explore the short-time existence of solutions to this equation. In the second part, we will discuss the Ricci flow on M. The objective is to propose a new boundary condition for the flow and state two short-time existence results.