Algebra/Topology Seminar

Speaker: Itamar Mor

Title: Computing Picard groups via profinite Galois descent

Abstract: I will explain how the proétale site gives models for the continuous actions of the Morava stabiliser group on Morava E-theory, its module category, and its Picard spectrum. The resulting descent spectral sequence gives a method to compute the Picard group of the K(n)-local category, and I will run through this computation at height one to recover the results of Hopkins-Mahowald-Sadofsky.