Nikolai Chebotaryov's "Problems in Modern Galois Theory"

TL;DR

This paper provides a historical and conceptual overview of modern Galois Theory as of 1932, highlighting key problems and developments stemming from Galois's foundational work.

Contribution

It offers a comprehensive survey of contemporary issues in Galois Theory, reflecting on the progress made since Galois and presenting open problems of the era.

Findings

Survey of key problems in Galois Theory

Historical perspective on Galois's influence

Identification of unresolved questions in the field

Abstract

This is an English translation of Nikolai Chebotaryov's paper "Die Probleme der modernen Galoisschen Theorie" from 1932. An excerpt from this paper was given as a lecture at the International Congress of Mathematicians in Z\"urich in 1932. With the lecture being given to commememorate the centennial of Evariste Galois' death, the paper is a broad survey of various contemporary problems in Galois Theory the author found represented the culminations of work done by Galois and his successors.