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Fall 2013 Abstracts

Eduardo González, University of Massachusetts Boston
TBA
Lisa Jeffrey, University of Toronto
A Hamiltonian circle action on the triple reduced product of coadjoint orbits of $\mathbf{SU}(3)$
(Joint work in progress with Gouri Seal, Paul Selick and Jonathan Weitsman.)
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).
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
Milen Yakimov, Louisiana State University
Poisson unique factorization domains and cluster algebras