Topology Seminar

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

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.
Date: Monday, November 10, 2008
Time: 4:10pm
Where: Lunt 104
Contact Person: Prof. Paul Goerss
Contact email: pgoerss@math.northwestern.edu
Contact Phone: 847-491-8544
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