The Foias Lectures

Date: February 25, 2019

Time: 4:00PM - 5:00PM

Location: Blocker 117

Speaker: Panagiota Daskalopoulos, Columbia University

Title: Nonlinear Geometric Flows

Abstract: We will give an overview on the development of extrinsic Nonlinear Geometric Flows, emphasizing both the analytical and geometric point of views. Special emphasis will be given to the Mean curvature flow (an example of quasilinear diffusion), the Inverse Mean curvature flow (an example of ultra-fast diffusion) and to the Gauss curvature flow (an example of slow-diffusion). We will address the questions of the long time existence of the flow, regularity of solutions, asymptotic behavior and singularities.