Chromatic Homotopy, K-Theory and Functors / Homotopie chromatique, K-théorie et foncteurs

Collection Chromatic Homotopy, K-Theory and Functors / Homotopie chromatique, K-théorie et foncteurs

Organizer(s) Ausoni, Christian ; Hess Bellwald, Kathryn ; Powell, Geoffrey ; Touzé, Antoine ; Vespa, Christine
Date(s) 23/01/2023 - 27/01/2023
linked URL https://conferences.cirm-math.fr/2339.html
00:00:00 / 00:00:00
11 15

The chromatic Nullstellensatz

By Robert Burklund

Hilbert's Nullstellensatz is a fundamental result in commutative algebra which is the starting point for classical algebraic geometry. In this talk, I will discuss a version of Hilbert's Nullstellensatz in chromatic homotopy theory, where Lubin-Tate theories play the role of algebraically closed fields. Time permitting, I will then indicate some of the applications of the chromatic nullstellensatz including to redshift for the algebraic K-theory of commutative algebras. This is joint work with Tomer Schlank and Allen Yuan.

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