## EVENT DETAILS AND ABSTRACT

**Topology Seminar**
**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.

**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

Copyright © 1997-2024
Department of Mathematics, Northwestern University.