EVENT DETAILS AND ABSTRACT

Title: Uniqueness of Morava K-theory
Speaker: Vigleik Angeltveit
Speaker Info: University of Chicago
Brief Description:
Special Note:
Abstract:

Classical obstruction theory seemingly produces uncountably many A-infinity structures on the Morava K-theory spectrum K(n). We show that these A-infinity structures are all equivalent, using a Bousfield-Kan spectral sequence converging to the homotopy groups of the moduli space of A-infinity ring spectra equivalent to K(n). This spectral sequence has infinitely many differentials, and to show that all the relevant classes die we study the connective Morava K-theory spectrum k(n) and use the theory of Postnikov towers and S-algebra k-invariants developed by Dugger and Shipley.