Topological cyclic homology and the Fargues--Fontaine curve

Lars Hesselholt, University of Copenhagen

I will explain how the Fargues--Fontaine curve appears from localizing invariants, including K-theory and topological cyclic homology, and indicate how the twistor projective line should appear analogously.

Conference on Homotopy Theory with Applications to Arithmetic and Geometry
June 27 - 30, 2022