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Essential spanning forests on periodic planar graphs

Monday 15th June 2015 - 15:30 to 16:30
INI Seminar Room 1
The laplacian on a periodic planar graph has a rich algebraic and integrable structure, which we usually don't see when we do standard potential theory. We discuss the combinatorial, algebraic and integrable features of the laplacian, and in particular interpret combinatorially the points of the "spectral curve" of the laplacian in terms of probability measures on spanning trees and forests.
University of Cambridge Research Councils UK
    Clay Mathematics Institute London Mathematical Society NM Rothschild and Sons