School Seminars and Colloquia

A Diagrammatic Primer on Phase Transitions and Integrability in Two Dimensions

2010 Inaugural Professorial Lecture Program

by Professor Paul Pearce

Institution: Mathematics and Statistics Department, The University of Melbourne
Date: Tue 12th October 2010
Time: 6:30 PM
Location: Elisabeth Murdoch Theatre

Abstract: Phase transitions are ubiquitous in nature. Familiar examples include the freezing and boiling of water, a magnet losing its magnetic properties at high temperatures and stream under pressure finding a path and percolating through coffee grinds. It is nororiously difficult to find exact mathematical solutions to such problems but, miraculously, this can be achieved in certain simplified mathematical models using Yang-Baxter methods. This lecture will be a gentle introduction to these topics illustrating the key ideas through the use of diagrams and a diagrammatic calculus.

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