### Algebraic and Topological Combinatorics

Special Session at the Fall Eastern Section Meeting
of the American Mathematical Society

Williams College, Williamstown, MA
October 13-14, 2001

### Moduli spaces and the Littlewood-Richardson cone

Abstract [ps] [pdf]: The Littlewood-Richardson cone, studied by Berenstein-Zelevinsky and Knut\-son-Tao, gives a convex-geometric description of weight multiplicities in the decomposition of tensor products of representations of $\mathrm{GL}_{n}$. We describe a connection between this cone and certain moduli spaces due to Alexeev.

This is joint work with Eric Babson.

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last updated: August 21, 2001