On the p-adic Langlands correspondence for algebraic tori

2018/11/12 by Christopher Birkbeck, Birkbeck, Christopher
Arts and Humanities · Physics and Astronomy · Social Sciences · #Electrical and Electromagnetic Research #FOS: Mathematics #Number Theory (math.NT) #Philosophical and Historical Studies #Scientific and Historical Analyses

paper · pdf · doi:10.48550/arxiv.1811.04819

openalex publication_date 2018/11/12 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

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