A MINI-COURSE ON MORAVA STABILIZER GROUPS AND THEIR COHOMOLOGY

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, the chromatic homotopy type of X at chromatic level n > 0 and a given prime p is largely 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 of level n at p, with coefficients in the corresponding Morava module (En)∗X.
Type de document :
Pré-publication, Document de travail
2017


https://hal.archives-ouvertes.fr/hal-01468904
Contributeur : Hans-Werner Henn <>
Soumis le : mercredi 15 février 2017 - 22:19:45
Dernière modification le : vendredi 17 février 2017 - 01:07:48

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  • HAL Id : hal-01468904, version 1
  • ARXIV : 1702.05033

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Hans-Werner Henn. A MINI-COURSE ON MORAVA STABILIZER GROUPS AND THEIR COHOMOLOGY. 2017. <hal-01468904>

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