Celebrating George Andrews' Election to the National Academy of Sciences

(and his 65th Birthday)

Talk Abstract

Combinatorics, Number Theory, and Modular Forms

 Ken Ono, University of Wisconsin

The interplay between partition theory and modular forms has a long history. Some of the deepest theorems in the subject regarding congruences and asymptotics for partition functions follow from a detailed study of the Fourier expansion of certain modular forms. In this general lecture we shall describe new connections between
certain families of modular forms and other canonical objects in combinatorics and number theory.