4:00 pm Wednesday, April 6, 2011
Stulken Geometry-Analysis Seminar: Minimizing the Mass of the Codimension-Two Skeleton of a Convex, Volume One Polyhedral Region
by
Ryan Scott (Rice University) in HB 227
In this talk we establish the existence and partial regularity of a (d-2)-dimensional edge-length minimizing polyhedron in $\R^d$. The minimizer is a generalized convex polytope of volume one which is the limit of a minimizing sequence of polytopes converging in the Hausdorff metric. We show that the (d-2)-dimensional edge-length $\zeta_{d-2}$ is lower-semicontinuous under this sequential convergence. Here the edge set of the limit generalized polytope is a closed subset of the boundary whose complement in the boundary consists of countably many relatively open planar regions. Host Department: Rice University-Mathematics
Submitted by damanik@rice.edu |
