Topological cyclic homology

This expository paper, which is based on notes by Lucy Yang, is a write-up of my lectures in the 2019 Oberwolfach Seminar "Topological Cyclic Homology and Arithmetic" organized by Dustin Clausen, Akhil Mathew, and myself. The lectures give a survey of work by Ruochuan Liu and Guozhen Wang that employs the method of descent to determine the structure of topological cyclic homology and prismatic cohomology of local number rings.

Lars Hesselholt <larsh@math.nagoya-u.ac.jp>