##### Department of Mathematics,

University of California San Diego

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### Math 269 - Combinatorics

## David Little

#### Pennsylvania State University

## A New Combinatorial Approach to q-Series Identities

##### Abstract:

In this talk, we present a new combinatorial context for q-series identities. By simply rewriting many partition theoretic identities, we can make them more amenable to tilings of an infinitely long board. The advantage of this approach is that beautiful yet complex bijections relating two different collections of partitions are replaced by simple constructions involving the same collection of tilings. Classical results of Euler, Sylvester, Lebesgue, Rogers, and Ramanujan will be discussed.

Host: Adriano Garsia

### August 14, 2008

### 11:00 AM

### AP&M 7321

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