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Non-abelian Fundamental Groups and Iwasawa Theory.
Displays the intricate interplay between different foundations of non-commutative number theory.
| Clasificación: | Libro Electrónico |
|---|---|
| Autor principal: | |
| Otros Autores: | , , , |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Cambridge :
Cambridge University Press,
2011.
|
| Colección: | London Mathematical Society lecture note series.
|
| Temas: | |
| Acceso en línea: | Texto completo |
MARC
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| 003 | OCoLC | ||
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| 082 | 0 | 4 | |a 512.2 |
| 049 | |a UAMI | ||
| 100 | 1 | |a Coates, John. | |
| 245 | 1 | 0 | |a Non-abelian Fundamental Groups and Iwasawa Theory. |
| 260 | |a Cambridge : |b Cambridge University Press, |c 2011. | ||
| 300 | |a 1 online resource (322 pages) | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
| 338 | |a online resource |b cr |2 rdacarrier | ||
| 490 | 1 | |a London Mathematical Society Lecture Note Series | |
| 588 | 0 | |a Print version record. | |
| 520 | |a Displays the intricate interplay between different foundations of non-commutative number theory. | ||
| 505 | 0 | |6 880-01 |a Cover; LONDON MATHEMATICAL SOCIETY LECTURE NOTE SERIES; Title; Copyright; Contents; Contributors; Preface; Lectures on anabelian phenomena in geometry and arithmetic; Part I. Introduction and motivation; A. First examples; B. Galois characterization of global fields; Part II. Grothendieck's anabelian geometry; A. Warm-up: birational anabelian conjectures; B. Anabelian conjectures for curves; C. The section conjectures; Part III. Beyond the arithmetical action; A. Small Galois groups and valuations; B. Variation of fundamental groups in families of curves. | |
| 504 | |a Includes bibliographical references. | ||
| 590 | |a eBooks on EBSCOhost |b EBSCO eBook Subscription Academic Collection - Worldwide | ||
| 590 | |a ProQuest Ebook Central |b Ebook Central Academic Complete | ||
| 650 | 0 | |a Iwasawa theory. | |
| 650 | 0 | |a Non-Abelian groups. | |
| 650 | 4 | |a Iwasawa theory. | |
| 650 | 4 | |a Non-Abelian groups. | |
| 650 | 6 | |a Théorie d'Iwasawa. | |
| 650 | 6 | |a Groupes non abéliens. | |
| 650 | 7 | |a MATHEMATICS |x Number Theory. |2 bisacsh | |
| 650 | 7 | |a Iwasawa theory |2 fast | |
| 650 | 7 | |a Non-Abelian groups |2 fast | |
| 650 | 7 | |a Aufsatzsammlung |2 gnd | |
| 650 | 7 | |a Iwasawa-Theorie |2 gnd | |
| 650 | 7 | |a Nichtabelsche Gruppe |2 gnd | |
| 700 | 1 | |a Kim, Minhyong. | |
| 700 | 1 | |a Pop, Florian. | |
| 700 | 1 | |a Saïdi, Mohamed. | |
| 700 | 1 | |a Schneider, Peter. | |
| 776 | 0 | 8 | |i Print version: |z 9781107648852 |
| 830 | 0 | |a London Mathematical Society lecture note series. | |
| 856 | 4 | 0 | |u https://ebookcentral.uam.elogim.com/lib/uam-ebooks/detail.action?docID=833518 |z Texto completo |
| 880 | 8 | |6 505-01/(S |a 5 Analogue of the MH(G) conjecture for Hida families -- 6 Vanishing of the R-torsion -- References -- Galois theory and Diophantine geometry -- 1 The deficiency of abelian motives -- 2 Motivic fundamental groups and Selmer varieties -- 3 Diophantine finiteness -- 4 An explicit formula and speculations -- References -- Potential modularity -- a survey -- 1 Introduction -- 2 Semistable elliptic curves over Q are modular -- 3 Why the semistability assumption-- 4 All elliptic curves over Q are modular -- 5 Kisin's modularity lifting theorems -- 6 Generalisations to totally real fields -- 7 Potential modularity pre-Kisin and the p-λ trick -- 8 Potential modularity after Kisin -- 9 Some final remarks -- References -- Remarks on some locally Qp-analyticrep resentations of GL2(F) in the crystalline case -- 1 Introduction and notations -- 2 Quick review of the GL2(Qp)-case -- 3 Quick review of weakly admissible filtered φ-modules -- 4 Some locally Qp-analytic representations of GL2(F) -- 5 Weak admissibility and GL2(F)-unitarity I -- 6 Amice-Vélu and Vishik revisited -- 7 Weak admissibility and GL2(F)-unitarity II -- 8 Local-global considerations -- 9 The case where the Galois representation is reducible -- References -- Completed cohomology -- a survey -- 1 Definitions -- 2 Non-commutative Iwasawa theory -- 3 Poincaré duality -- 4 A simple example of everything so far -- 5 Congruence quotients of symmetric spaces -- 6 Conjectures on codimensions -- 7 Mod p analogues -- 8 Heuristics related to the p-adic Langlands programme -- References -- Tensor and homotopy criteria for functional equations of ℓ-adic and classical iterated integrals -- 1 Introduction -- 2 Multi-Kummer characters -- 3 Multi-Kummer duals -- 4 Iterated integrals and their functional equations -- 5 Case of polylogarithms -- 6 Examples -- References. | |
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