**Speaker**: Virgil Pierce

**Title**: Random Matrices and Map Enumeration

**Abstract**: We have been considering a partition function of
random matrices represented by the Gaussian expectation of a unitary
invariant function over *N* x *N* Hermitian matrices. The
particular choice of invariant function we use gives a Partition
Function whose large *N* asymptotic expansion is a counting
function for Maps (a type of labeled graph). This fact can be formally
motivated by use of the Wick Lemma for Gaussian expectations. We will
then explore two interpretations of Maps: a complex analysis
definition, and a group theory version.