English

A Mini-Course on Morava Stabilizer Groups and Their Cohomology

Algebraic Topology 2017-02-17 v1

Abstract

The Morava stabilizer groups play a dominating role in chromatic stable ho-motopy theory. In fact, for suitable spectra X, for example all finite spectra, thechromatic homotopy type of X at chromatic level n \textgreater{} 0 and a given prime p islargely controlled by the continuous cohomology of a certain p-adic Lie group Gn,in stable homotopy theory known under the name of Morava stabilizer group oflevel n at p, with coefficients in the corresponding Morava module (En)\starX.

Keywords

Cite

@article{arxiv.1702.05033,
  title  = {A Mini-Course on Morava Stabilizer Groups and Their Cohomology},
  author = {Hans-Werner Henn},
  journal= {arXiv preprint arXiv:1702.05033},
  year   = {2017}
}