# Generalized Frobenius partitions and Jacobi forms

## Meeting Details

Abstract: In a 1984 memoir, Andrews defined the notion of a generalized Frobenius partition. Since then, many authors have considered explicit formulas and congruences for functions counting these objects. Here, in joint work with Kathrin Bringmann and Mike Woodbury, I will show how interpreting these functions in the context of Jacobi forms and theta decompositions gives a natural interpretation of the counting functions for generalized Frobenius partitions into $k$ colors in terms of character formulas of Kac and Wakimoto, and how the structure of theta decompositions can be used to give inductive formulas for the generating functions.