From: Kelli McGee \(Kelly Services Inc\) (a-kellim@microsoft.com)
Date: Tue Apr 27 2004 - 08:33:27 PDT
You are invited to attend...
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WHO: Tara Holm
AFFILIATION: University of California, Berkeley
TITLE: Distinguishing Chambers of the Moment Polytope
WHEN: Thu 5/27/2004
WHERE: 113/1159 Research Lecture Room, Microsoft Research
TIME: 3:30PM-5:00PM
HOST: Scott Sheffield and Jennifer Chayes
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ABSTRACT:
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. This is
based in part on joint work with R. Goldin and L. Jeffrey.
BIO:
Tara Holm received her Ph.D. from MIT in 2002. Currently, she is an NSF
Postdoctoral Fellow at the University of California, Berkeley. Her
research interests include symplectic geometry and its relationship with
convex and discrete geometry and combinatorics.
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