Vorträge in der Woche 19.12.2016 bis 25.12.2016

Dienstag, 20.12.2016: (g,K) cohomology and automorphic forms

Benedikt Otto

Mittwoch, 21.12.2016: Evolution by Curvature

Prof. Dr. Simon Brendle (Columbia University)

We will discuss recent advances on singularity formation in geometric flows. In particular, we plan to consider fully nonlinear flows where the speed is a nonlinear function of the curvature eigenvalues. An interesting class of examples are flows for convex hypersurfaces with speed given by a power of the Gaussian curvature. The asymptotic behavior of these flows is by now well understood, and depends in a subtle way on the exponent. The main tools are a classification of self-similar solutions, as well as a monotonicity formula for an entropy functional.