The Role of Symmetry in Phase Transitions

Members Seminar
Topic:The Role of Symmetry in Phase Transitions
Speaker:Tom Spencer
Affiliation:Professor, School of Mathematics
Date:Monday, January 23
Time/Room:2:00pm - 3:00pm/S-101

This talk will review some theorems and conjectures about phase transitions of interacting spin systems in statistical mechanics. A phase transition may be thought of as a change in a typical spin configuration from ordered state at low temperature to disordered state at high temperature. I will illustrate how the symmetry of a spin system plays a crucial role in its qualitative behavior. Of particular interest is the connection between supersymmetric statistical mechanics and the spectral theory of random band matrices.