Families of Differential Operators for Overconvergent Hilbert Modular Forms

Abstract: We construct differential operators for families of overconvergent Hilbert modular forms by interpolating the Gauss--Manin connection on strict neighborhoods of the ordinary locus. This is related to work done by Harron and Xiao and by Andreatta and Iovita in the case of modular forms and has applications in particular to p-adic L-functions of CM fields.

number theory

Audience: researchers in the discipline

POINT: New Developments in Number Theory

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