Generalized Frobenius partitions and Jacobi forms
Speaker: Larry Rolen, PSU
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.
Room Reservation Information
Room Number: 106 McAllister
Time: 11:15am - 12:05pm