Quantum modular and mock modular forms

Amanda Folsom

Amherst College

Brandeis University

Thursday, November 13, 2014

Talk at 4:30 p.m. in 317 Goldsmith Hall

Tea at 4:00 p.m. in 100 Goldsmith Hall


Abstract: In 2010, Zagier defined the notion of a ``quantum modular form," and offered several diverse examples, including Kontsevich's `strange' function. Here, we construct infinite families of quantum modular forms, and prove one of Ramanujan's remaining claims about mock theta functions in his last letter to Hardy as a special case of our work. We will show how quantum modular forms underlie new relationships between combinatorial mock modular and modular forms due to Dyson and Andrews-Garvan. This is joint work with Ken Ono (Emory U.) and Rob Rhoades (CCR-Princeton).

Home Web page: Alexandru I. Suciu Posted: October 31, 2014
Comments to: URL: