**UM Math Graduate Students Seminar**

Matthew Hyatt

*University of Miami*

**will present**

**On the Littlewood-Richardson Rule**

Friday, April 15, 2011, 2:30pm

Ungar Building Room 506

**Abstract:**This talk will begin with the definition of a group representation, and end with the famous Littlewood-Richardson rule, covering the necessary results in between. The Littlewood-Richardson rule is a combinatorial description of certain important coefficients that arise in the study of symmetric functions (these are the coefficents that give the expansion of a product of Schur symmetric functions in terms of the Schur basis). These coefficients also arise in the study of representations of the symmetric group (how to decompose the induced representation of a tensor product into irreducible representations), as well as other places. In the process of this talk, we will also have the chance to observe instances of interactions between representation theory and combinatorics.

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