On the p-adic langlands correspondence for algebraic tori

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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.

Original languageEnglish
Pages (from-to)133-158
Number of pages26
JournalJournal de Theorie des Nombres de Bordeaux
Volume32
Issue number1
Early online date21 Aug 2020
DOIs
Publication statusPublished - 2020

Keywords

  • Langlands
  • P-adic
  • Tori

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