Topological cyclic homology of local fields

We introduce a new approach to determining the structure of topological cyclic homology by means of a descent spectral sequence. We carry out the computation for a p-adic local field with F-p-coefficients, including the case p = 2 which was only covered by motivic methods except in the totally unramified case.

Automated summary

We present a new approach to determine the structure of topological cyclic homology using a descent spectral sequence. We perform the computation for a p-adic local field with F-p-coefficients, including the case of p = 2, which has previously only been covered by motivic methods in the totally unramified case.