|Topic:||The Role of Symmetry in Phase Transitions|
|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.