Topological cyclic homology of local fields

• 成果类型: Article
• 署名作者: Liu, Ruochuan; Wang, Guozhen
• 署名单位: Fudan University; Peking University
• 刊物名称: INVENTIONES MATHEMATICAE
• ISSN/ISSBN: 0020-9910
• DOI: 10.1007/s00222-022-01134-9
• 发表日期: 2022
• 页码: 851-932
• 关键词: algebraic k-theory; hochschild homology; descent

摘要

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.