“Notes on Isoparametric Hypersurfaces in Spheres: The Chern Conjecture”

 

By

Mike Scherfner

(Institute of Mathematics

TU Berlin)

 

Abstract:  The Chern conjecture for isoparametric hypersurfaces in spheres can be stated as follows: Let M be a closed, minimally immersed hypersurface of the (n+1)-dimensional sphere S^{n+1} with constant scalar curvature. Then M is isoparametric. We present a short history of the Chern conjecture for isoparametric hypersurfaces in spheres and generalizations. Main results will be presented and we summarize the progress for this topic

 

Date:  March 5, 2009 Thursday

Time: 15.40

Place: Mathematics Seminar Room, SA-141