Number theory seminar.

Speaker: Cormac O'Sullivan
Title: Hyperbolic Fourier coefficients of modular forms.

Abstract: The usual Fourier coefficients of modular forms are
well-known and important in number theory and other fields too. These
coefficients are associated to a cusp which is just a parabolic fixed
point. In the 1940s Petersson also introduced Fourier coefficients
associated to hyperbolic fixed points. In this talk I describe what is
known about these coefficients, based on two current projects. The
elliptic case, corresponding to Taylor coefficients, will also be
discussed if time allows.

Coffee, tea and cookies in the coffee lounge after the talk.