4.6 Article

Topological cyclic homology of local fields

Journal

INVENTIONES MATHEMATICAE
Volume 230, Issue 2, Pages 851-932

Publisher

SPRINGER HEIDELBERG
DOI: 10.1007/s00222-022-01134-9

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Funding

  1. National Natural Science Foundation of China [NSFC-11801082]
  2. Tencent Foundation
  3. Shanghai Rising-Star Program [20QA1401600]
  4. Shanghai Pilot Program for Basic Research-FuDan University [21TQ1400100, 21TQ002]

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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.
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.

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