Type: Seminar

Modified: Tue 23 Sep 2008 1046; Tue 23 Sep 2008 1105

Distribution: World

Expiry: 27 Sep 2008

Auth: florica@p7192.pc (assumed)

Felix Schulze, Freie Universitat Berlin New time! 3.30pm-4.30pm, Friday 26th September, Room 707A Abstract: In recent years, evolving hypersurfaces with normal speed equal to a function of its principal curvatures has been applied in several cases to prove new geometric inequalities. In this talk we will describe some of these results and discuss a recent result of the speaker, how a weak level-set formulation of the flow with speed equal to a positive power of the mean curvature can be used to give a new proof of the isoperimetric inequality in R^n up to dimension 8. We also show how this technique can be extended to complete, simply connected 3-manifolds with nonpositive sectional curvature to yield a new proof of the Euclidean isoperimetric inequality on such manifolds.