
School of Mathematics and Statistics
Matthew Emerton
University of Chicago
Modular forms, theta functions and elliptic curves.
Friday 4th August, 121pm, Carslaw 275.
In this talk we will explain a construction of theta functions
attached to certain quadratic forms using the geometric properties
of elliptic curves. (This is in contrast to the usual process via
the Poisson summation formula.) As an application, we will
improve on a classical theorem of Eichler on spanning spaces of
modular forms by theta series. The talk will begin by recalling
the necessary background on the objects under discussion.
