University of Arizona
When
2 – 3 p.m., Feb. 4, 2025
Where
Title: Arithmetic Teichmüller Theory of a Number Field II
Abstract: The goal of these two talks is to provide an introduction to the notion of Teichmuller type deformations of a fixed number field. I will begin a brief introduction to Classical Teichmüller Theory (of Riemann surfaces). That such Teichmuller type deformations of a number field exist was suggested by Shinchi Mochizuki in his Inter-Universal Teichmüller Theory and underlies his work on the abc-conjecture. The two talks will focus mainly on my paper (available on the arxiv) Constructions of Arithmetic Teichmüller Spaces II(1/2): Deformations of Number Fields.