Generalized Frobenius partitions and Jacobi forms

Combinatorics/Partitions Seminar

Meeting Details

For more information about this meeting, contact Matthew Katz, James Sellers, Stephanie Geyer, George Andrews.

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

Date: 12/01/2015

Time: 11:15am - 12:05pm