Perfect matchings and perfect powers
refreshments at 3:45pm
In the last decade several results have been found concerning
lattice regions in the plane whose number of tilings by certain tiles is a
perfect power or a near-perfect power. We review some of them and present
new simple, unified proofs. We also discuss and generalize a conjecture
due to Matt Blum on enumerating the tilings of a certain family of regions
on the lattice obtained from the triangular lattice by drawing in all
Speaker's Contact Info: ciucu(at-sign)math.gatech.edu
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