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.