Event Poster

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Graduate Student Colloquium

Aztec diamonds, Aztec Pacmen, and the Essentially Arctic Tilings, and their common Typical Shapes
Casey Warmbrand
Department of Mathematics, The University of Arizona
Wednesday, 23 September 2009
12:00 PM
Math 402

Once again, the definition of an Aztec diamond will be presented, briefly. We will then mention the shape of a typical tiling and define the set of essentially arctic tilings. A special modification to the boundary of the Aztec diamond will be looked at, where there is a unique extension from any tiling of this modified region to a tiling of the whole Aztec diamond. We will conclude the talk by showing how the space of modified tilings, when the modification is scaled appropriately, can be nested between the spaces of all tilings and the essentially arctic ones, thus implying the same typical arctic shapes to emerge in the modified tilings.

Bagels and refreshments will be served.
Event submitted 16 Sep 2009 by Michael A Bishop.