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Galois Groups over ? - Proceedings of a Workshop Held March 23-27, 1987 (Paperback, Softcover reprint of the original 1st ed. 1989)
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Galois Groups over ? - Proceedings of a Workshop Held March 23-27, 1987 (Paperback, Softcover reprint of the original 1st ed. 1989)
Series: Mathematical Sciences Research Institute Publications, 16
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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.
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