Colloquium: Tuesday, June 9 2pm. Speaker: Moshe Baruch (Technion). Title: Modular forms and new forms.

We recall some of the theory of modular forms starting with results of Jacobi on the theta function and sum of four squares. We will look at Ramanujan’s discriminant function, Hecke’s operators and the theory of new forms of Atkin and Lehner. We will finish the talk with a new result about the characterization of the space of new forms. We do not assume any knowledge of modular forms.