## EVENT DETAILS AND ABSTRACT

**Colloquium**
**Title:** A geometric Littlewood-Richardson rule

**Speaker:** Professor Ravi Vakil

**Speaker Info:** Stanford University

**Brief Description:**

**Special Note**:

**Abstract:**

Littlewood-Richardson coefficients are fundamental constants in several fields of mathematics (and in nature). In combinatorics, they appear in the ring of symmetric functions; in representation theory, they appear in the representations of groups such as GL(n) and S_n. In geometry they turn up in the topology of the Grassmannian, which parametrizes sub-vector spaces of an n-dimensional vector spaces. (This is the ``geometry behind linear algebra''.) I will describe how to interpret Littlewood-Richardson numbers in this way, and show you the key idea behind being able to understand them with pictures (the ``geometric Littlewood-Richardson rule''). I'll conclude with a list of applications in several fields, but the main goal of this talk will be to communicate the flavor of the ideas involved. In particular, no background will be assumed.

**Date:** Wednesday, November 29, 2006

**Time:** 2:00pm

**Where:** Lunt 105

**Contact Person:** Prof. Eric Friedlander

**Contact email:** eric@math.northwestern.edu

**Contact Phone:** 847-491-8541

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