[過去ﾛｸﾞ] Inter-universal geometry と ABC予想 (応援スレ) 45 (1002ﾚｽ)

Inter-universal geometry と ABC予想 (応援スレ) 45 http://rio2016.5ch.net/test/read.cgi/math/1588552720/

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27: 現代数学の系譜 雑談 ◆e.a0E5TtKE [] 2020/05/04(月) 16:40:18 ID:ncpDqOGk >>26 追加 https://en.wikipedia.org/wiki/P-adic_Hodge_theory p-adic Hodge theory In mathematics, p-adic Hodge theory is a theory that provides a way to classify and study p-adic Galois representations of characteristic 0 local fields[1] with residual characteristic p (such as Qp). The theory has its beginnings in Jean-Pierre Serre and John Tate's study of Tate modules of abelian varieties and the notion of Hodge?Tate representation. Hodge?Tate representations are related to certain decompositions of p-adic cohomology theories analogous to the Hodge decomposition, hence the name p-adic Hodge theory. Further developments were inspired by properties of p-adic Galois representations arising from the etale cohomology of varieties. Jean-Marc Fontaine introduced many of the basic concepts of the field. Contents 1 General classification of p-adic representations 2 Period rings and comparison isomorphisms in arithmetic geometry 3 Notes 4 References 4.1 Primary sources 4.2 Secondary sources http://rio2016.5ch.net/test/read.cgi/math/1588552720/27

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