# Mathematics Topology Seminar - Austin Maison, WSU: Spectral Iwasawa theory

This event is in the past.

**When:**

April 2, 2024

2 p.m. to 3 p.m.

2 p.m. to 3 p.m.

**Where:**

**Event category:**Seminar

In-person

Austin Maison, WSU

Apr 2, 2-3 PM, Nelson Room

Title: Spectral Iwasawa theory

Abstract: We discuss how to associate p-1 characteristic polynomials to the p-complete periodic complex K-theory of finite spectra using Iwasawa theory. We then obtain a spectral version of the Iwasawa Main Conjecture by showing that the special values of these characteristic polynomials recover the K(1)-local stable homotopy groups of the Spanier-Whitehead dual of finite spectra. All necessary background in Iwasawa theory will be provided.