## EVENT DETAILS AND ABSTRACT

**Colloquium**
**Title:** Eigenvalue Inequalities and Quantum Cohomology of the Grassmannian

**Speaker:** Professor Chris Woodward

**Speaker Info:** Harvard University

**Brief Description:**

**Special Note**:

**Abstract:**

Given the eigenvalues of two Hermitian matrices, what are the
possible eigenvalues of the sum? In a recent preprint Klyachko notes that
the Hilbert-Mumford criterion in geometric invariant theory gives a
solution to this problem, which is related to determining which
irreducibles appear in the tensor product of two irreducibles of SU(n). I
will talk about recent work with Agnihotri (see alg-geom for a preprint)
where we consider the corresponding problem for products of unitary
matrices, which is related to decomposing fusion (Verlinde) products of
representations of SU(n). The answer is given in terms of quantum
cohomology of the Grassmannian.

**Date:** Wednesday, May 6, 1998

**Time:** 4:30pm

**Where:** Lunt 105

**Contact Person:** Prof. Ezra Getzler

**Contact email:** getzler@math.nwu.edu

**Contact Phone:** 847-467-1695

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