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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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