Amanda Folsom

Affiliation: Yale University

Email: amanda.folsom@yale.edu

Title Of Talk: Quantum modular forms and a conjecture of Ramanujan

Abstract: While the theory of mock modular forms has seen great advances in the last decade, questions remain. We revisit Ramanujan's last letter to Hardy, and prove one of his remaining conjectures as a special case of a more general result. Surprisingly, the rank function, crank function, mock theta functions, and quantum modular forms, all play key roles. This is joint work with K. Ono (Emory U.) and R.C. Rhoades (Stanford U.).

Last update made Thu Oct 11 22:14:02 EDT 2012.
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