The Jacquet-Langlands correspondence for overconvergent Hilbert modular forms

Christopher Birkbeck

doi:10.1142/S1793042119500258

The Jacquet-Langlands correspondence for overconvergent Hilbert modular forms

Christopher Birkbeck

Algebra, Number Theory, Logic, and Representations (ANTLR)

Research output: Contribution to journal › Article › peer-review

4 Citations (Scopus)

Abstract

We use results by Chenevier to interpolate the classical Jacquet-Langlands correspondence for Hilbert modular forms, which gives us an extension of Chenevier's results to totally real fields. From this we obtain an isomorphism between eigenvarieties attached to Hilbert modular forms and those attached to modular forms on a totally definite quaternion algebra over a totally real field of even degree.

Original language	English
Pages (from-to)	479-504
Number of pages	26
Journal	International Journal of Number Theory
Volume	15
Issue number	3
Early online date	20 Nov 2018
DOIs	https://doi.org/10.1142/S1793042119500258
Publication status	Published - 1 Apr 2019

Keywords

eigenvariety
Hilbert
Langlands
overconvergent

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10.1142/S1793042119500258

https://discovery.ucl.ac.uk/id/eprint/10055578/

Cite this

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The Jacquet-Langlands correspondence for overconvergent Hilbert modular forms

Abstract

Keywords

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