Geometric Analysis Seminar
Eigenfunctions on self-similar solutions to geometric flows
Kyeongsu Choi, MIT
Location: Hill 705
Date & time: Tuesday, 15 October 2019 at 2:50PM - 3:50PM
Abstract: Eigenfunctions of the linearized operator of geometric flow on self-similar solutions determine the asymptotic behavior. We will consider the eigenfunctions of the Jacobi operator to the mean curvature flow over the round sphere and cylinder. And will see how they determine the asymptotic shape of asymptotically cylindrical ancient flow, marriage ring singularity as well as the regularity of the arrival time.
Also, we would discuss about further applications to the nonlinear flows including the Gauss curvature flow.