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The (?)-г-module Theory Corresponding To Lubin-Tate Formal Groups

Posted on:2006-04-30Degree:DoctorType:Dissertation
Country:ChinaCandidate:H LinFull Text:PDF
GTID:1100360152481917Subject:Basic mathematics
Abstract/Summary:PDF Full Text Request
In this paper, using the methods of formal groups(especially Lubin-Tateformal groups), we study the p-adic period ring BdR and its subring Acris. Usingthe result we get, we try to describe some kind of p-adic representations of Galoisgroups. The paper has three chapter. Chapter 1 is the preliminary, we introduce the construction of ring BdR, andwe de?ne some new elements in BdR, by using the method of formal groups. Thenwith these new elements we formulate some concepts and theorems parallel tothe classical theory. In chapter two we give a new description for the structure of p-adic periodsubring Acris using formal groups. In chapter two, we study the Frobenius action on ring Acris, and give asu?cient condition for a representation to be potentially cristaline.
Keywords/Search Tags:Lubin-Tate formal group, (?)-Γ-module, p-adic representation of Galois groups, Cristaline representation.
PDF Full Text Request
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