Motivic Hochschild Homology Over Algebraically Closed Fields

Explore motivic Hochschild homology calculations in algebraic geometry through this 33-minute conference talk by Kyle Ormsby from Reed College. Delve into the algebro-geometric setting of motivic spectra and discover how Betti realization recovers Bökstedt's calculation of topological Hochschild homology for finite prime fields. Examine the motivic Hochschild homology ring's torsion classes, arising from the mod-p motivic Steenrod algebra and generating functions on natural numbers with finite nonempty support. Presented at the Conference on Homotopy Theory with Applications to Arithmetic and Geometry, this talk offers insights into advanced mathematical concepts at the intersection of homotopy theory, arithmetic, and geometry.

Motivic Hochschild homology over algebraically closed fields