##### Department of Mathematics,

University of California San Diego

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### AWM Colloquium

## Susanna Fishel

#### Arizona State University

## Enumeration of strong, standard, starred tableaux

##### Abstract:

Schur functions are a basis for the ring of symmetric functions, one with many important algebraic and combinatorial properties. k-Schur functions are a basis for a certain subring of that ring and are turning out to be just as interesting. Many results involving Schur functions have analogues involving k-Schur functions. Standard strong marked tableaux play a role for k-Schur functions similar to the role standard Young tableaux play for Schur functions. I will discuss results and conjectures toward an analogue of the hook length formula. This is joint work with Matjaz Konvalinka.

Helen Parks

### April 12, 2013

### 3:00 PM

### AP&M 6402

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