Bonn Topology Group - Abstracts

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Talk

July 16, 2024
Matthew Spong (Bochum University): Equivariant elliptic cohomology and the 2-loop groupoid

Abstract

Elliptic cohomology is a type of cohomology theory associated with elliptic curves that first appeared in the late 1980s. The first equivariant version of elliptic cohomology was given in 1994 by Grojnowski in the complex-analytic setting. This "delocalised" theory was built in an ad hoc way using ordinary Borel cohomology for certain applications in representation theory. Recently, in work by Nitu Kitchloo, Charles Rezk and others, there has emerged a much more conceptual picture of Grojnowski's theory whereby its relationship to loop groups has been made clear. In this talk I plan to describe this picture and possibly sketch some future directions.