Theta operators on Siegel modular forms and Galois representations

2016/01/08 by Alexandru Ghitza, Ghitza, Alexandru, Angus McAndrew +1
Mathematics · #11F60 (Primary) 11F46 #11F80 (Secondary) #Advanced Algebra and Geometry #Algebraic Geometry and Number Theory #Algebraic structures and combinatorial models #FOS: Mathematics #Number Theory (math.NT) #Representation Theory (math.RT)

paper · pdf · doi:10.48550/arxiv.1601.01835

openalex publication_date 2016/01/08 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We describe the effect of the differential operators defined by Boecherer-Nagaoka, Flander-Ghitza and Yamauchi on the Galois representations (conjecturally) attached to Siegel modular eigenforms.

Related

• On the kernel of the theta operator mod p
• A theta operator for the group GSp₄
• On the mod p kernel of the theta operator and Eisenstein series
• Theta Operator Equals Fontaine Operator on Modular Curves
• Differential operators on modular forms (mod p)