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On the p-adic Langlands correspondence for algebraic tori

Birkbeck, C; (2020) On the p-adic Langlands correspondence for algebraic tori. Journal de Théorie des Nombres de Bordeaux , 32 (1) pp. 133-158. 10.5802/jtnb.1114. Green open access

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Abstract

We extend the results by R.P. Langlands on representations of (connected) abelian algebraic groups. This is done by considering characters into any divisible abelian topological group. With this we can then prove what is known as the abelian case of the p-adic Langlands program.

Type: Article
Title: On the p-adic Langlands correspondence for algebraic tori
Open access status: An open access version is available from UCL Discovery
DOI: 10.5802/jtnb.1114
Publisher version: https://doi.org/10.5802/jtnb.1114
Language: English
Additional information: This version is the author accepted manuscript. For information on re-use, please refer to the publisher’s terms and conditions.
UCL classification: UCL
UCL > Provost and Vice Provost Offices > UCL BEAMS
UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences
UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences > Dept of Mathematics
URI: https://discovery.ucl.ac.uk/id/eprint/10097076
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