Title | Galois Groups over โ [electronic resource] : Proceedings of a Workshop Held March 23-27, 1987 / edited by Y. Ihara, K. Ribet, J.-P. Serre |
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Imprint | New York, NY : Springer US, 1989 |
Connect to | http://dx.doi.org/10.1007/978-1-4613-9649-9 |
Descript | X, 449p. 11 illus. online resource |
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.Gรฉomรฉtrie algรฉbrique dans une catรฉgorie tannakienne -- 6.Le groupe fondamental dโune catรฉgorie tannakienne -- 7.Gรฉomรฉtrie algรฉbrique dans la catรฉgorie tannakienne des systรจmes de rรฉalisations: interprรฉtations -- 8.Extensions itรฉrรฉes de motifs de Tate -- 9.Rappels sur les groupes unipotents -- 10.Thรฉories 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 ร lโinfini -- 16.P1 moins trois points: un quotient de ?1 motivique -- 17.Relations de distribution: voie gรฉomรฉtrique -- 18.Le torseur Pd.k + ( ? 1 )k ? Pd.k est de torsion: voie gรฉomรฉtrique -- 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 and discussion -- 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 Poincarรฉ 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