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On some orbitopes of SO(d)
Algebra & Discrete Mathematics| Speaker: | Raman Sanyal, UC Berkeley |
| Location: | 2112 MSB |
| Start time: | Fri, May 22 2009, 1:10PM |
Description
For a compact group G, an orbitope is the convex hull of the orbit
of a point in
some representation of G. For finite groups this construction yields
some of the
nicest polytopes, among them cubes, demicubes, and permutahedra. In
general,
orbitopes are compact convex bodies for which the face lattices are
much harder to describe.
In this talk, I report on some recent results regarding the face
lattices of some
orbitopes for SO(d). In the cases considered, the facial structure
is governed by
the combinatorics of polytopes. This is joint work with Frank
Sottile and Bernd Sturmfels.