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.
University of Melbourne
Wed, 24/06/2015 - 1:30pm
Red Centre 4082