Towards minimalistic forms of the Neukirch and Uchida Theorem

Abstract: Recall that the famous Neukirch and Uchida Theorem (and its variants) show that the isomorphism type of global fields is functorially encoded in their absolute and/or solvable Galois theory. Inspired by the very recent work of Saidi-Tamagawa on the topic, and work by Harry Smit related to the subject, I will present some work in progress on quite "minimalistic" forms of the Neukirch and Uchida Theorem and its generalizations. This work in progress is collaboration with Adam Topaz.

number theory

Audience: researchers in the discipline

Upstate New York Online Number Theory Colloquium