l-Adic Representations and their Associated Invariants

2014/10/04 by Dokchitser, Vladimir, Anni, Samuele
#11F80 #11G07 #11S20 #FOS: Mathematics #Number Theory (math.NT)

paper · doi:10.48550/arxiv.1410.1039

Abstract

These are notes from a 3-lecture course given by V. Dokchitser at the ICTP in Trieste, Italy, 1st--5th of September 2014, as part of a graduate summer school on "L-functions and modular forms". The course is meant to serve as an introduction to l-adic Galois representations over local fields with "l not equal to p", and has a slightly computational bent. It is worth mentioning that the course is not about varieties and their etale cohomology, but merely about the representation theory.

Related

• Analyse p-adique et représentations Galoisiennes
• A support problem for the intermediate Jacobians of l-adic representations
• The Local Langlands correspondence for \GL_n over p-adic fields
• The l-adic K-theory of a p-local field
• Some questions about representations of p-adic groups