##### Department of Mathematics,

University of California San Diego

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### Math 269 - Combinatorics

## Sarah Mason

#### Wake Forest University \\ Department of Mathematics

## Littlewood-Richardson Refinements Part I: Nonsymmetric and quasisymmetric functions

##### Abstract:

We introduce a new basis for quasisymmetric functions, called "quasisymmetric Schur functions", and provide a combinatorial rule for the multiplication of a quasisymmetric Schur function by a Schur function. We extend this approach to develop similar multiplication rules for Demazure characters and for Demazure atoms. This is joint work with Jim Haglund, Kurt Luoto, and Steph van Willigenburg.

Host: Jeff Remmel

### October 20, 2009

### 4:00 PM

### AP&M 7321

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