In the beginning: Langlands' doctoral thesis

TL;DR

This paper provides an in-depth analysis of Robert Langlands' unpublished doctoral thesis, exploring its background, content, and principal results with alternative explanations and proofs, contributing to the understanding of the origins of the Langlands Program.

Contribution

It offers a detailed exposition and reinterpretation of Langlands' doctoral thesis, clarifying its foundational ideas and significance in modern mathematics.

Findings

Detailed description of Langlands' thesis content

Alternative explanations of principal results

Insights into the origins of the Langlands Program

Abstract

This is a draft version of an invited article for a forthcoming book `The genesis of Langlands Program', eds. Julia Mueller and Freydoon Shahidi, which will be published in the London Mathematics Society Lecture Notes Series. It gives a description of the background and content of the unpublished doctoral thesis of Robert Langlands with many alternative explanations and proofs of the principal results.