Séminaire d'Homotopie et Géométrie Algébrique

Equivariant elliptic cohomology and mapping stacks

by Paolo Tomasini (SISSA Trieste)

IMT 1R2 207 (Salle Pellos)

IMT 1R2 207

Salle Pellos


In this talk I will provide an interpretation of rationalized equivariant elliptic cohomology in terms of stacks of "quasi-constant" maps from elliptic curves to quotient stacks. An intermediate notion of elliptic Hochschild homology of stacks will be required, and for quotient stacks its associated periodic cyclic homology will coincide with equivariant elliptic cohomology of the analytification. Based on joint work with Nicolò Sibilla.