Conductors of l-adic representations

TL;DR

This paper introduces a new formula for calculating the Artin conductor of l-adic representations of the Weil group in local fields, enhancing understanding of ramification in number theory.

Contribution

The paper presents a novel formula for the Artin conductor specific to l-adic Weil group representations, improving computational and theoretical approaches.

Findings

New formula for Artin conductor derived

Enhanced understanding of ramification in local fields

Potential applications in number theory and Galois representations

Abstract

We give a new formula for the Artin conductor of an $\ell$-adic representation of the Weil group of a local field of residue characteristic $p\neq\ell$.