Mathematical Sciences Research Institute Publications

Galois Groups over ?

Proceedings of a Workshop Held March 23–27, 1987

Editors: Ihara, Y., Ribet, Kenneth, Serre, J-P. (Eds.)

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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.

Table of contents (8 chapters)

Table of contents (8 chapters)

Buy this book

eBook $129.00
price for USA in USD
  • ISBN 978-1-4613-9649-9
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • Immediate eBook download after purchase and usable on all devices
  • Bulk discounts available
Softcover $169.99
price for USA in USD
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Bibliographic Information

Bibliographic Information
Book Title
Galois Groups over ?
Book Subtitle
Proceedings of a Workshop Held March 23–27, 1987
Editors
  • Y. Ihara
  • Kenneth Ribet
  • J-P. Serre
Series Title
Mathematical Sciences Research Institute Publications
Series Volume
16
Copyright
1989
Publisher
Springer-Verlag New York
Copyright Holder
Springer-Verlag New York Inc.
eBook ISBN
978-1-4613-9649-9
DOI
10.1007/978-1-4613-9649-9
Softcover ISBN
978-1-4613-9651-2
Series ISSN
0940-4740
Edition Number
1
Number of Pages
X, 449
Topics