Ramin Takloo-Bighash : Rankin-Cohen brackets of eigenforms

Posted by Ramin Takloo-Bighash , part of the Number Theory Seminar.

At

Oct. 8, 2008, 2 p.m.

In

SEO 636

Abstract

This will be an (accessible) exposition of a result joint with Dominic Lanphier which characterizes when the Rankin-Cohen bracket of two eigenforms of full level is an eigenform. We will show that this happens only for a finite number of cases, and identify every possibility. Our theorem generalizes a theorem of Bill Duke dealing with products of eigenforms.