Minimal modularity lifting for nonregular symplectic representations

Frank Calegari; David Geraghty

doi:10.1215/00127094-2019-0044

Abstract

We prove a minimal modularity lifting theorem for Galois representations (conjecturally) associated to Siegel modular forms of genus $2$ which are holomorphic limits of discrete series at infinity.

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Frank Calegari. David Geraghty. "Minimal modularity lifting for nonregular symplectic representations." Duke Math. J. 169 (5) 801 - 896, 1 April 2020. https://doi.org/10.1215/00127094-2019-0044

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Received: 22 March 2017; Revised: 8 May 2019; Published: 1 April 2020

First available in Project Euclid: 18 February 2020

zbMATH: 07198467

MathSciNet: MR4079417

Digital Object Identifier: 10.1215/00127094-2019-0044

Subjects:

Primary: 11F80

Secondary: 11F33 , 11F46

Keywords: Galois representations

Abstract

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