##### Department of Mathematics,

University of California San Diego

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### Combinatorics Seminar

## Adriano Garsia

## Polyominos, Parking Functions, and Diagonal Harmonics

##### Abstract:

In the recent FPSAC meeting in Nagoya, Michele D'Adderio posed the problem of proving that a family of polynomials in N[q,t] that q,t-enumerate the convex polyominos in the nxm square are symmetric in q,t. In this talk we show how two beautiful bijections of Michele D'Adderio and Angela Hicks combine to yield the symmetry result as well as its connection to the theory of Macdonald Polynomials and Diagonal Harmonics.

### October 2, 2012

### 4:00 PM

### AP&M 7321

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