{"title":"Galois representations, $(\\varphi, \\Gamma)$-modules and prismatic F-crystals","authors":"Z. Wu","doi":"10.4171/dm/855","DOIUrl":null,"url":null,"abstract":"We prove that both local Galois representations and (φ,Γ)-modules can be recovered from prismatic F-crystals, from which we obtain a new proof of the equivalence of Galois representations and (φ,Γ)-modules.","PeriodicalId":50567,"journal":{"name":"Documenta Mathematica","volume":"63 1","pages":""},"PeriodicalIF":0.9000,"publicationDate":"2021-04-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Documenta Mathematica","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.4171/dm/855","RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"MATHEMATICS","Score":null,"Total":0}
引用次数: 1
Abstract
We prove that both local Galois representations and (φ,Γ)-modules can be recovered from prismatic F-crystals, from which we obtain a new proof of the equivalence of Galois representations and (φ,Γ)-modules.
期刊介绍:
DOCUMENTA MATHEMATICA is open to all mathematical fields und internationally oriented
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