The classification of p-compact groups and homotopical group theory

5 Citations (Scopus)

Abstract

We survey some recent advances in the homotopy theory of classifying spaces, and homotopical group theory. We focus on the classification of p-compact groups in terms of root data over the p-adic integers, and discuss some of its consequences e.g., for finite loop spaces and polynomial cohomology rings.

Original languageEnglish
Title of host publicationProceedings of the International Congress of Mathematicians 2010
Number of pages28
Publication date2010
Pages973-1001
Publication statusPublished - 2010

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