Equivariant elliptic cohomology and mapping stacks

par Paolo Tomasini (SISSA Trieste)

mardi 19 sept. 2023, 14:00 → 15:00 Europe/Paris

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.