Bonn Topology Group - Abstracts

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Talk

May 8th 2018
Bernhard Hanke (Universität Augsburg): An equivariant Quillen theorem

Abstract

A classical theorem due to Quillen (1969) identifies the unitary bordism ring with the Lazard ring, which classifies the universal one-dimensional commutative formal group law. We prove an equivariant generalization of this result by identifying the homotopy theoretic $\Z/2$-equivariant unitary bordism ring, introduced by tom Dieck (1970), with the $\Z/2$-equivariant Lazard ring, introduced by Cole-Greenlees-Kriz (2000). Our proof combines a computation of the homotopy theoretic $\Z/2$-equivariant unitary bordism ring due to Strickland (2001) with a detailed investigation of the $\Z/2$-equivariant Lazard ring.
This is joint work with Michael Wiemeler.

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