PSU Mark
Eberly College of Science Mathematics Department

Meeting Details

For more information about this meeting, contact Robert Vaughan, Mihran Papikian, Ae Ja Yee, Kirsten Eisentraeger.

Title:Quantum and mock modular forms arising from eta-theta functions
Seminar:Algebra and Number Theory Seminar
Speaker:Amanda Folsom, Amherst College
In this talk, we will discuss joint work with Garthwaite, Kang, Swisher, and Treneer, in which we construct quantum modular and mock modular forms. These forms arise from ordinary modular forms which are simultaneously eta quotients and theta functions. Eta quotients have been previously studied by Conway-Norton, Dummit-Kisilevsky-McKay, Lemke Oliver, Martin, and Mason, among others. As corollaries to our work, we explicitly evaluate Eichler integrals of eta-theta functions as finite q-hypergeometric sums, and establish related curious algebraic identities.

Room Reservation Information

Room Number:MB106
Date:04 / 21 / 2016
Time:11:15am - 12:05pm