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Experimental Mathematics Seminar

Symbolic evaluation of determinants and rhombus tilings of holey hexagons 

Elaine Wong and Christoph Koutschan, (joint talk)-Johann Radon Institute for Computational and Applied Mathematics

Location:  Hill 525 (Note room change) 
Date & time: Friday, 20 July 2018 at 4:00PM - 5:00PM

Abstract:   We investigate a curious determinant that was first mentioned by George Andrews in 1980 in the context of descending plane partitions. It is found to be a special instance of a two-parameter family of determinants that count certain collections of nonintersecting lattice paths, or, equivalently, cyclically symmetric rhombus tilings of a hexagon with several triangular holes inside. We find closed forms for several one-parameter subfamilies, both by applying combinatorial arguments and by applying Zeilberger's "holonomic ansatz". 

Affiliation: (RICAM) Austrian Academy of Sciences 

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Department of Mathematics

Department of Mathematics
Rutgers University
Hill Center - Busch Campus
110 Frelinghuysen Road
Piscataway, NJ 08854-8019, USA

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