Differential operators on modular forms

Speaker: 

Alex Ghitza

Affiliation: 

University of Melbourne

Date: 

Wed, 24/06/2015 - 1:30pm

Venue: 

Red Centre 4082

Abstract: 

Rankin-Cohen brackets are a way of differentiating a modular form while preserving the modularity property.  This produces a differential operator on modular forms (mod p), whose effect on the attached Galois representations is tensoring by the cyclotomic character modulo p.

I will discuss how these ideas come about, and work in progress with Angus McAndrew on generalising them to higher-dimensional settings.

School Seminar Series: