Commutative Algebra Seminar

Date: Friday, Sep 19, 2025

Time: 2:00PM - 3:00PM

Location: LCB 222

JJ Garzella

UCSD

Title	On a Berkovich-type nullstellensatz for perfectoid Tate algebras
Abstract	We will survey some recent results about a class of rings called perfectoid Tate algebras. These rings do not satisfy Hilbert’s nullstellensatz, as shown by Gleason. We suggest an alternative, based on the theory of Berkovich spaces. We conclude by showing our statement in the case of two variables.

Commutative Algebra