Title: Building global spectra
Abstract: Global spaces are homotopy theoretic avatars of smooth stacks, and cohomology theories on global spaces are represented by global spectra. Specific examples are given by global quotients of G-spaces/spectra. However in a precise sense a global space/spectrum should itself be a “compatible collection of equivariant spaces/spectra for all (compact Lie) groups. We will then explain how from this perspective one can construct a global spectrum representing equivariant elliptic cohomology. The first half is joint work with Denis Nardin and Luca Pol and the second half is joint work with David Gepner and Luca Pol.
