# Aspects of matrix integrals

*Statistical Mechanics/Combinatorics Seminar*

*by Professor Peter Forrester and Professor Eric Rains*

*Institution:*The University of Melbourne and University of California at Davis

*Date: Thu 30th November 2006*

*Time: 3:15 PM*

*Location: Room 213, Richard Berry Building, The University of Melbourne*

*Abstract*: Matrix integrals over classical groups occur in problems in directed percolation. These will be reviewed, some new methods of

evaluating some matrix integrals given, and use of some tableaux bijections explained. Selberg correlation integrals generalize certain

matrix integrals. These integrals can be used to solve a certain system of Fuchsian differential equations. The Wronskian for this system

can be calculated explicitly, as can its monodromy. The latter gives information on the structure of the solutions of the differential equation, and of the differential operator itself.

*For More Information:* Dr. Iwan Jensen Phone: +61 3 8344 5214 I.Jensen@ms.unimelb.edu.au