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＜電子ブック＞
Galois Groups over ? : Proceedings of a Workshop Held March 23–27, 1987 / edited by Y. Ihara, Kenneth Ribet, J-P. Serre
(Mathematical Sciences Research Institute Publications ; 16)

版	1st ed. 1989.
出版者	New York, NY : Springer New York : Imprint: Springer
出版年	1989
本文言語	英語
大きさ	X, 449 p : online resource
冊子体	Galois groups over Q : proceedings of a workshop held March 23-27, 1987 / Y. Ihara, K. Ribet, J.-P. Serre, editors ; : us,: wb
著者標目	Ihara, Y editor Ribet, Kenneth editor Serre, J-P editor SpringerLink (Online service)
件　名	LCSH:Group theory LCSH:Number theory FREE:Group Theory and Generalizations FREE:Number Theory
一般注記	Normalization of the Hyperadelic Gamma Function -- 1.Gaussian units -- 2.The structure of Mr,? -- 3.Normalization -- Maass Forms and Galois Representations -- 1.Automorphic forms via representations -- 2.Holomorphic automorphic forms for GSp(4) -- 3.Geometric automorphic forms -- 4.Reductions -- 5.Heuristics and conjectures -- 6.Transfer of problem to GSp(4, A?) -- 7.Hypothesis 1: structure of global L-packets for GSp(4) -- 8.An analytic estimate for the conjugates of Maass forms -- 9.Hypothesis 2: Galois representations attached to Siegel modular forms of higher weight -- 10.The main theorem -- Le Groupe Fondamental De La Droite Projective Moins Trois Points -- 0.Terminologie et notations -- 1.Motifs mixtes -- 2.Exemples -- 3.Torseurs sous Z(n) -- 4.Rappels sur les Ind-objets -- 5.Géométrie algébrique dans une catégorie tannakienne -- 6.Le groupe fondamental d’une catégorie tannakienne -- 7.Géométrie algébrique dans la catégorie tannakienne des systèmes de réalisations: interprétations -- 8.Extensions itérées de motifs de Tate -- 9.Rappels sur les groupes unipotents -- 10.Théories du ?1 -- 11.Le Frobenius cristallin du ?1 de Rham -- 12.La filtration de Hodge du ?1 -- 13.Le ?1 motivique -- 14.Exemple: le ?1 motivique de Gm -- 15.Points bases à l’infini -- 16.P1 moins trois points: un quotient de ?1 motivique -- 17.Relations de distribution: voie géométrique -- 18.Le torseur Pd.k + ( ? 1 )k ? Pd.k est de torsion: voie géométrique -- 19.Comparaison des Z(h)-torseurs des paragraphes 3 et 16 -- Index des notations -- The Galois Representation Arising from P1 ? {0, 1,?} and Tate Twists of Even Degree -- 1.Preliminaries and statement of the Theorem -- 2.Reducing the proof of the Theorem to two key lemmas -- 3.Proof of Key Lemma A -- 4.Proof of Key Lemma B -- 5.Remarks anddiscussion -- On the ?-Adic Cohomology of Varieties Over Number Fields and its Galois Cohomology -- 1.The basic conjecture -- 2.Connections with algebraic K-theory -- 3.Connections with Iwasawa theory -- 4.Global results -- 5.The local case -- 6.The case n ? i + 1 ? 2n -- 7.The case i = 1: abelian varieties -- Rationality Criteria for Galois Extensions -- 1.Fundamental groups -- 2.Class numbers of generators -- 3.Topological automorphisms -- 4.Braids -- 5.Braids and topological automorphisms together -- Deforming Galois Representations -- 1Universal deformation of representations -- 2.The internal structure of universal deformation spaces -- Galois Groups of Poincaré Type Over Algebraic Number Fields -- 1.The function field case -- 2.Classification of Demuskin groups -- 3.p-adic number fields -- 4.n-local fields -- 5.The absolute Galois group of a p-adic number field -- 6.Global number fields This volume is the offspring of a week-long workshop on "Galois groups over Q and related topics," which was held at the Mathematical Sciences Research Institute during the week March 23-27, 1987. The organizing committee consisted of Kenneth Ribet (chairman), Yasutaka Ihara, and Jean-Pierre Serre. The conference focused on three principal themes: 1. Extensions of Q with finite simple Galois groups. 2. Galois actions on fundamental groups, nilpotent extensions of Q arising from Fermat curves, and the interplay between Gauss sums and cyclotomic units. 3. Representations of Gal(Q/Q) with values in GL(2)j deformations and connections with modular forms. Here is a summary of the conference program: • G. Anderson: "Gauss sums, circular units and the simplex" • G. Anderson and Y. Ihara: "Galois actions on 11"1 ( ••• ) and higher circular units" • D. Blasius: "Maass forms and Galois representations" • P. Deligne: "Galois action on 1I"1(P-{0, 1, oo}) and Hodge analogue" • W. Feit: "Some Galois groups over number fields" • Y. Ihara: "Arithmetic aspect of Galois actions on 1I"1(P - {O, 1, oo})" - survey talk • U. Jannsen: "Galois cohomology of i-adic representations" • B. Matzat: - "Rationality criteria for Galois extensions" - "How to construct polynomials with Galois group Mll over Q" • B. Mazur: "Deforming GL(2) Galois representations" • K. Ribet: "Lowering the level of modular representations of Gal( Q/ Q)" • J-P. Serre: - Introductory Lecture - "Degree 2 modular representations of Gal(Q/Q)" • J Accessibility summary: This PDF is not accessible. It is based on scanned pages and does not support features such as screen reader compatibility or described non-text content (images, graphs etc). However, it likely supports searchable and selectable text based on OCR (Optical Character Recognition). Users with accessibility needs may not be able to use this content effectively. Please contact us at accessibilitysupport@springernature.com if you require assistance or an alternative format Inaccessible, or known limited accessibility No reading system accessibility options actively disabled Publisher contact for further accessibility information: accessibilitysupport@springernature.com HTTP:URL=https://doi.org/10.1007/978-1-4613-9649-9

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