Differential operators on modular forms (mod p)

by A. Ghitza

Proceedings of the workshop Analytic and Arithmetic Theory of Automorphic Forms, RIMS Kokyuroku No. 2100 (2019), 52-64.

We give a survey of recent work on the construction of differential operators on various types of modular forms (mod p). We also discuss a framework for determining the effect of such operators on the mod p Galois representations attached to Hecke eigenforms.