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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