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Galois Groups over ?

Proceedings of a Workshop Held March 23–27, 1987

  • Conference proceedings
  • © 1989

Overview

Editors:
  1. Y. Ihara

    1. Faculty of Science, Department of Mathematics, Hongo, Tokyo 113, Japan

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  2. K. Ribet

    1. Department of Mathematics, University of California at Berkeley, Berkeley, USA
      Mathematical Sciences Research Institute, Berkeley, USA

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  3. J.-P. Serre

    1. College de France, Paris, France

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Part of the book series: Mathematical Sciences Research Institute Publications (MSRI, volume 16)

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Table of contents (8 papers)

  1. Front Matter

    Pages i-x
    Download chapter PDF

  2. Normalization of the Hyperadelic Gamma Function

    • Greg W. Anderson
    Pages 1-31

  3. Maass Forms and Galois Representations

    • Don Blasius, Dinakar Ramakrishnan
    Pages 33-77

  4. Le Groupe Fondamental de la Droite Projective Moins Trois Points

    • Par P. Deligne
    Pages 79-297

  5. The Galois representation arising from P1 − {0,1, ∞} and Tate twists of even degree

    • Yasutaka Ihara
    Pages 299-313

  6. On the ℓ-adic cohomology of varieties over number fields and its Galois cohomology

    • Uwe Jannsen
    Pages 315-360

  7. Rationality Criteria for Galois Extensions

    • B. Heinrich Matzat
    Pages 361-383

  8. Deforming Galois Representations

    • B. Mazur
    Pages 385-437

  9. Galois Groups of Poincaré-Type over Algebraic Number Fields

    • Kay Wingberg
    Pages 439-449
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Keywords

About this book

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.

Editors and Affiliations

  • Faculty of Science, Department of Mathematics, Hongo, Tokyo 113, Japan

    Y. Ihara

  • Department of Mathematics, University of California at Berkeley, Berkeley, USA

    K. Ribet

  • Mathematical Sciences Research Institute, Berkeley, USA

    K. Ribet

  • College de France, Paris, France

    J.-P. Serre

Bibliographic Information

  • Book Title: Galois Groups over ?

  • Book Subtitle: Proceedings of a Workshop Held March 23–27, 1987

  • Editors: Y. Ihara, K. Ribet, J.-P. Serre

  • Series Title: Mathematical Sciences Research Institute Publications

  • DOI: https://doi.org/10.1007/978-1-4613-9649-9

  • Publisher: Springer New York, NY

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer-Verlag New York Inc. 1989

  • Softcover ISBN: 978-1-4613-9651-2Published: 21 December 2011

  • eBook ISBN: 978-1-4613-9649-9Published: 06 December 2012

  • Series ISSN: 0940-4740

  • Edition Number: 1

  • Number of Pages: X, 449

  • Topics: Group Theory and Generalizations, Number Theory

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