The conjectural connections between automorphic representations and Galois representations

TL;DR

This paper discusses conjectures linking automorphic and Galois representations, providing evidence for these deep and influential hypotheses in number theory.

Contribution

It formulates conjectures on the connections between automorphic and Galois representations and offers supporting evidence.

Findings

Proposed conjectures on automorphic-Galois links

Presented evidence supporting these conjectures

Highlighted implications for number theory

Abstract

We state conjectures on the relationships between automorphic representations and Galois representations, and give evidence for them.