Twisted L-values, Fourier coefficients and periods

Tuesday, September 23, 2014 - 2:00pm
MSB 312
Kimball Martin (University of Oklahoma)

It is well known that much arithmetic information is encoded in the central values of L-functions attached to elliptic curves and modular forms. In this talk, we will focus on explaining 3 key aspects---the nonvanishing of these L-values, Fourier coefficients of associated half-integral weight modular forms, and periods on quaternion algebras---and the miraculous relations among these. We will attempt to make this as elementary as possible by discussing concrete examples.