Plongements l-adiques et l-nombres de Weil

TL;DR

This paper introduces l-adic analogs of Weil numbers, connecting number field embeddings and absolute values, with applications to Iwasawa theory of cyclotomic towers.

Contribution

It defines l-adic Weil numbers and explores their implications for Iwasawa theory, extending classical concepts into the l-adic setting.

Findings

Introduction of l-adic Weil numbers

Connections with number field embeddings and absolute values

Implications for Iwasawa theory of cyclotomic towers

Abstract

We define l-adic analogs of classical Weil numbers in connexion both with complex or l-adic imbeddings of number fields and real or l-adic absolute values. As an application we give some consequences related to the Iwasawa theory of cyclotomic towers.