Bonn Topology Group - Abstracts

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Talk

October 27th 2020
Achim Krause (Universität Münster): The Picard group in equivariant homotopy theory via stable module categories

Abstract

The Picard group of genuine G-spectra consists of those compact objects all of whose geometric fixed points are spheres. Work by tom Dieck - Petrie classifies these objects in terms of the dimensions at all conjugacy classes of subgroups. The question of which such "dimension functions" can be realized is quite interesting. We present a new perspective on this question, based on a version of isotropy separation which plays well with compact objects.

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