Symmetric power functoriality for Hilbert modular forms

Abstract

Let $F$ be a totally real field. We prove the existence of all symmetric power liftings of those cuspidal automorphic representations of $\mathrm{GL}_2(\mathbf{A}_F)$ associated to Hilbert modular forms of regular weight.

Authors

James Newton

Mathematical Institute, University of Oxford, Oxford, United Kingdom

Jack Thorne

Department of Pure Mathematics and Mathematical Statistics, Centre for Mathematical Sciences, University of Cambridge, Cambridge, United Kingdom