Speaker: Devarshi Mukherjee
Affiliation: University of Oxford
Title of Talk: $K$-theory for etale topological stacks
Date: November 19, 2025
Time: 14:30:00 Hours
Venue: A-369

Abstract: We associate to an etale groupoid, a dualisable category of sheaves. This category includes the categories of $G$-spectra and equivariant sheaves on a locally compact Hausdorff space as special cases. We then describe the continuous $K$-theory of this category in terms of the sheaf cohomology of the coarse moduli space of the stack. Joint work with Guido Arnone and Thomas Nikolaus.