Date/Time
Date(s) - 21/03/2024
2:30 am - 3:30 am

Location: Hamilton Hall 207

Speaker: Elliot Kaplan (McMaster University)

Title: Some model theory of perfectoid fields

Abstract: Many properties of certain valued fields called perfectoid fields can be understood in terms of the properties of their tilts. A recent preprint of Jahnke and Kartas provides a model-theoretic framework for this philosophy: the tilt of a perfectoid field K can be realized as an elementary substructure of the residue field corresponding to a coarsened valuation on an elementary extension of K. I’ll present the basics of perfectoid fields and discuss this theorem and some of its consequences.