Seminars & Colloquia Calendar
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".