**THURSDAYS
APPLIED MATH GROUP MEETINGS **

**“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