Galois Groups over ℚ: Proceedings of a Workshop Held March 23–27, 1987
Gespeichert in:
| 1. Verfasser: | |
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| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
New York, NY
Springer US
1989
|
| Schriftenreihe: | Mathematical Sciences Research Institute Publications
16 |
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Beschreibung: | 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. |
| Beschreibung: | 1 Online-Ressource (X, 449p. 11 illus) |
| ISBN: | 9781461396499 9781461396512 |
| ISSN: | 0940-4740 |
| DOI: | 10.1007/978-1-4613-9649-9 |
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| 245 | 1 | 0 | |a Galois Groups over ℚ |b Proceedings of a Workshop Held March 23–27, 1987 |c edited by Y. Ihara, K. Ribet, J.-P. Serre |
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| 490 | 0 | |a Mathematical Sciences Research Institute Publications |v 16 |x 0940-4740 | |
| 500 | |a 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. | ||
| 650 | 4 | |a Mathematics | |
| 650 | 4 | |a Group theory | |
| 650 | 4 | |a Number theory | |
| 650 | 4 | |a Group Theory and Generalizations | |
| 650 | 4 | |a Number Theory | |
| 650 | 4 | |a Mathematik | |
| 700 | 1 | |a Ribet, K. |e Sonstige |4 oth | |
| 700 | 1 | |a Serre, J.-P. |e Sonstige |4 oth | |
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Datensatz im Suchindex
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| any_adam_object | |
| author | Ihara, Y. |
| author_facet | Ihara, Y. |
| author_role | aut |
| author_sort | Ihara, Y. |
| author_variant | y i yi |
| building | Verbundindex |
| bvnumber | BV042420818 |
| classification_tum | MAT 000 |
| collection | ZDB-2-SMA ZDB-2-BAE |
| ctrlnum | (OCoLC)1002224115 (DE-599)BVBBV042420818 |
| dewey-full | 512.2 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 512 - Algebra |
| dewey-raw | 512.2 |
| dewey-search | 512.2 |
| dewey-sort | 3512.2 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| doi_str_mv | 10.1007/978-1-4613-9649-9 |
| format | Electronic eBook |
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| id | DE-604.BV042420818 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T01:21:07Z |
| institution | BVB |
| isbn | 9781461396499 9781461396512 |
| issn | 0940-4740 |
| language | English |
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| spelling | Ihara, Y. Verfasser aut Galois Groups over ℚ Proceedings of a Workshop Held March 23–27, 1987 edited by Y. Ihara, K. Ribet, J.-P. Serre New York, NY Springer US 1989 1 Online-Ressource (X, 449p. 11 illus) txt rdacontent c rdamedia cr rdacarrier Mathematical Sciences Research Institute Publications 16 0940-4740 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. Mathematics Group theory Number theory Group Theory and Generalizations Number Theory Mathematik Ribet, K. Sonstige oth Serre, J.-P. Sonstige oth https://doi.org/10.1007/978-1-4613-9649-9 Verlag Volltext |
| spellingShingle | Ihara, Y. Galois Groups over ℚ Proceedings of a Workshop Held March 23–27, 1987 Mathematics Group theory Number theory Group Theory and Generalizations Number Theory Mathematik |
| title | Galois Groups over ℚ Proceedings of a Workshop Held March 23–27, 1987 |
| title_auth | Galois Groups over ℚ Proceedings of a Workshop Held March 23–27, 1987 |
| title_exact_search | Galois Groups over ℚ Proceedings of a Workshop Held March 23–27, 1987 |
| title_full | Galois Groups over ℚ Proceedings of a Workshop Held March 23–27, 1987 edited by Y. Ihara, K. Ribet, J.-P. Serre |
| title_fullStr | Galois Groups over ℚ Proceedings of a Workshop Held March 23–27, 1987 edited by Y. Ihara, K. Ribet, J.-P. Serre |
| title_full_unstemmed | Galois Groups over ℚ Proceedings of a Workshop Held March 23–27, 1987 edited by Y. Ihara, K. Ribet, J.-P. Serre |
| title_short | Galois Groups over ℚ |
| title_sort | galois groups over ℚ proceedings of a workshop held march 23 27 1987 |
| title_sub | Proceedings of a Workshop Held March 23–27, 1987 |
| topic | Mathematics Group theory Number theory Group Theory and Generalizations Number Theory Mathematik |
| topic_facet | Mathematics Group theory Number theory Group Theory and Generalizations Number Theory Mathematik |
| url | https://doi.org/10.1007/978-1-4613-9649-9 |
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