p-adic families of Galois representations and higher rank Selmer groups

TL;DR

This book explores p-adic families of Galois representations, their associated Selmer groups, and connections to eigenvarieties and Arthur's conjectures, advancing understanding in number theory and arithmetic geometry.

Contribution

It provides a comprehensive study linking p-adic Galois representations with Selmer groups and eigenvarieties, offering new insights into Arthur's conjectures.

Findings

Development of new frameworks for p-adic Galois families

Deeper understanding of Selmer groups in this context

Connections established with Arthur's conjectures

Abstract

This is the final version of a book about p-adic families of Galois representations, Selmer groups, eigenvarieties and Arthur's conjectures