The classification of p-compact groups and homotopical group theory

Details The classification of p-compact groups and homotopical group theory The classification of p-compact groups and homotopical group theory

2010-03-21

arxiv.org/abs/1003.4010v1

Proceedings of the International Congress of Mathematicians 2010 (Hyderabad, India) p. 973-1001

Mathematics

Algebraic Topology

To appear in Proceedings of the ICM 2010.

Scientific paper

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.

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