Algebra/Topology seminar

Speaker: Thomas Nikolaus (University of Regensburg/ University of Bonn)

Title: The Universal Property of global spectra and elliptic cohomology

Abstract: We describe global spectra (in the sense of Schwede) as 
cohomology theories on stacks. In fact we prove a version of 
Brown-Representability in this setting. To achieve this we have to 
establish a new Quillen equivalent model which we call Orbispectra.

This is an instance of a more general machine. We describe the universal 
property of the category of global spectra and, more generally any 
category which results from "inverting" some vector bundles.

Finally we use this universal property to discuss examples of global 
cohomology theories related to elliptic cohomology.