Filipp Buryak : TBA
Bjorn Dundas : TBA
Yuri Sulyma : RO(G)-graded norms for de Rham-Witt forms
Equivariant homotopy theory is closely connected to p-adic cohomology via topological Hochschild homology (THH) and its variants. Two foundational computations in this field are: Bhatt-Morrow-Scholze related TC^- and TP of quasiregular semiperfectoid rings to prismatic cohomology, while Hesselholt related TR of smooth algebras over perfectoid rings to the de Rham-Witt complex.
I will explain RO(G)-graded generalizations of both of these computations, opening the door to more genuine-equivariant ideas in the field. In particular, we generalize Angeltveit's norm map of Witt vectors to the de Rham-Witt complex. |