School Seminars and Colloquia

Matrix models and random surfaces

Tuesday Seminar

by Alex Lee

Institution: The University of Melbourne
Date: Tue 1st June 2010
Time: 1:00 PM
Location: Room 213, Richard Berry Building, The University of Melbourne

Abstract: Statistical mechanical partition functions involving matrices, otherwise known as matrix models, can be interpreted as generating functions of random surfaces, that is, discrete surfaces built by gluing together polygons in various configurations. In this context, expectation values of traces are generating functions of random surfaces
with boundaries and these functions then obey what are known as loop equations for the matrix model. Finally, I will mention applications of
matrix models to counting quadrangulations of surfaces.

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