Event Detail

Event Type: 
M.Sc. Presentation
Date/Time: 
Monday, June 3, 2019 - 09:00 to 10:00
Location: 
STAG 162

Speaker Info

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.