Pseudorepresentations of weight one are unramified

Calegari, Frank; Specter, Joel

doi:10.2140/ant.2019.13.1583

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Pseudorepresentations of weight one are unramified

Frank Calegari and Joel Specter

Vol. 13 (2019), No. 7, 1583–1596

DOI: 10.2140/ant.2019.13.1583

Abstract

We prove that the determinant (pseudorepresentation) associated to the Hecke algebra of Katz modular forms of weight one and level prime to $p$ is unramified at $p$ .

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Keywords

Galois representations, modular forms

Mathematical Subject Classification 2010

Primary: 11F33

Secondary: 11F80

Milestones

Received: 23 March 2017

Revised: 13 May 2019

Accepted: 19 June 2019

Published: 21 September 2019

Authors

Frank Calegari
Department of Mathematics The University of Chicago IL United States

Joel Specter
Mathematics Department Johns Hopkins University Baltimore, MD United States

Vol. 13, No. 7, 2019