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Distinguishing chambers of the moment polytope
Algebra & Discrete Mathematics| Speaker: | Tara Holm, UC Berkeley |
| Location: | 693 Kerr |
| Start time: | Fri, Nov 21 2003, 2:10PM |
Description
I will discuss a problem that lies in the intersection of
symplectic geometry and combinatorics. Given a compact symplectic
manifold equipped with a Hamiltonian torus action, we can define a convex
polytope called the moment polytope. This polytope has internal
structure, and some interesting combinatorial questions include
determining the number of chambers inside the moment polytope, and finding
a way to distinguish the chambers. I will discuss some of the symplectic
geometry and lots of the combinatorics involved in the answers to these
questions.