Perfect matchings and perfect powers

Mihai Ciucu

Georgia Tech

February 27,
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 altitudes.

Speaker's Contact Info: ciucu(at-sign)

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Combinatorics Seminar, Mathematics Department, MIT, sara(at-sign)

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