Differential operators on modular forms (mod p)

Abstract

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.

13 pages; proceedings of the January 2018 Workshop on automorphic forms at RIMS, Kyoto

References in corpus (3)

• Theta operators on unitary Shimura varieties
• Cosilting complexes and AIR-cotilting modules
• Construction de représentations galoisiennes de torsion, d'après Peter Scholze