PSU Mark
Eberly College of Science Mathematics Department

Meeting Details

For more information about this meeting, contact Dmitri Burago, Stephanie Zerby.

Title:Variational principles for isometric embeddings and rigidity
Seminar:Geometry Luncheon Seminar
Speaker:Ivan Izmestiev, FU Berlin (Visiting Penn State)
Abstract:
The discrete total scalar curvature of a manifold glued from euclidean (or hyperbolic) simplices is the sum of the lengths of edges multiplied with the angular defects around them (a volume term is added in the hyperbolic case). This functional has very nice variational properties with respect to the length variables: its critical points correspond to vanishing angle defects, that is to constant curvature metrics. In certain cases we are able to determine the signature of its second variation, which looks very much like that of its smooth counterpart. We will present some applications to isometric embeddings and rigidity.

Room Reservation Information

Room Number:MB114
Date:01 / 28 / 2015
Time:12:05pm - 01:20pm