Fall 2013 Abstracts
- Eduardo González, University of Massachusetts Boston
- TBA
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- Lisa Jeffrey, University of Toronto
- A Hamiltonian circle action on the triple reduced product of
coadjoint orbits of $\mathbf{SU}(3)$
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(Joint work in progress with Gouri Seal, Paul Selick and Jonathan
Weitsman.)
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The fundamental group of the three-punctured sphere is the free group
on two generators—or, more symmetrically, the group on three
generators with one relation (that the product of the generators equal
the identity). Representations of this group in compact Lie groups
have been much studied (as a building block in the theory of flat
connections on 2-manifolds).
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Analogously one may study the symplectic quotient at 0 of the product
of three coadjoint orbits of a Lie group (the triple reduced product).
For regular orbits of $G=\mathbf{SU}(3)$ this symplectic quotient is a
2-sphere. We exhibit a function whose Hamiltonian flow gives an $S^1$
action on it, and study the period of the $S^1$ action.
- Sema Salur, University of Rochester
- TBA
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- Milen Yakimov, Louisiana State University
- Poisson unique factorization domains and cluster algebras
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