Random Tilings Workshop: February 18 – 22, 2013

Organized by Rick Kenyon, Jan de Gier, and Bernard Nienhuis

Random tilings in two dimensions provide an interesting class of discrete geometric models that exhibit critical behavior and hence are expected to be described by conformal eld theories and SLEs. The random tiling of lozenges, being free fermionic and describable in terms of nonintersecting lattice paths, can be analyzed in great detail using techniques of solvable lattice models, combinatorics and random matrix theory. This workshop intends to study more complex random tiling models that go beyond the class of free fermion models. Such tilings can still be Bethe Ansatz integrable, such as a class of rectangle triangle tiling models discovered in the late nineties. More recently these tilings have gained renewed interest due to the connection of the square triangle tiling with Littlewood Richardson coefficient from representation theory, as discovered by Knutson and Tao. Interested participants include Andrei Okounkov, Paul Zinn-Justin and others.

This workshop is a part of the Spring 2013 program Conformal Geometry, Organized by Ilia Binder, John Cardy, Andrei Okounkov, and Paul Wiegmann

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