Event Type:

M.Sc. Presentation

Date/Time:

Monday, June 3, 2019 - 09:00 to 10:00

Location:

STAG 162

Local Speaker:

Abstract:

In this talk we examine two duality theorems. The first, a result of Bryson, Pitman, Ono, and Rhoades, proves the generating function for strongly unimodal sequences is dual at roots of unity to the Kontsevich-Zagier series. This gives an interesting connection between a rank generating function and a quantum modular form. Hikami introduced a generalized Kontsevich-Zagier series, and the second result proved by Hikami and Lovejoy introduces a generalized rank generating function for strongly unimodal sequences and then proves a similar duality at roots of unity between the generalized functions.