##### Department of Mathematics,

University of California San Diego

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### Math 269 - Combinatorics

## Kenneth Barrese

#### UCSD

## p,q analogues of m-level rook numbers

##### Abstract:

This talk presents joint work with Nicholas Loehr, Jeffrey Remmel, and Bruce Sagan. The m-level rook placements are a generalization of ordinary rook placements. By factoring the m-level rook polynomials of Ferrers boards, it is possible to partition them into equivalence classes. There is a p,q-analogue of the m-level rook numbers. We have a bijective proof that two boards with the same m-level rook numbers have the same q-analogues of their m-level rook numbers. Surprisingly, they may not have the same p-analogues.

### November 3, 2015

### 3:00 PM

### AP&M 7321

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