On the p-adic Langlands correspondence for algebraic tori
Christopher Birkbeck1
1 Department of Mathematics University College London Gower street London, WC1E 6BT, UK
Journal de théorie des nombres de Bordeaux, Tome 32 (2020) no. 1, pp. 133-158.

Nous étendons les résultats de R.P. Langlands sur les représentations des groupes algébriques abéliens connexes. Pour démontrer nos théorèmes, nous considérons les caractères à valeurs dans un groupe topologique abélien divisible quelconque. Cela nous permet de prouver le cas abélien du programme de Langlands p-adique.

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.

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DOI : 10.5802/jtnb.1114
Classification : 11R39
Mots clés : $p$-adic, Langlands, tori
Christopher Birkbeck 1

1 Department of Mathematics University College London Gower street London, WC1E 6BT, UK
Licence : CC-BY-ND 4.0
Droits d'auteur : Les auteurs conservent leurs droits 
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Christopher Birkbeck. On the $p$-adic Langlands correspondence for algebraic tori. Journal de théorie des nombres de Bordeaux, Tome 32 (2020) no. 1, pp. 133-158. doi : 10.5802/jtnb.1114. https://jtnb.centre-mersenne.org/articles/10.5802/jtnb.1114/

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