Cohomology of Drinfeld modular varieties, Part 2, Automorphic forms, trace formulas, and Langlands correspondence:
Cohomology of Drinfeld Modular Varieties provides an introduction, in two volumes, both to this subject and to the Langlands correspondence for function fields. These varieties are the analogues for function fields of the Shimura varieties over number fields. The Langlands correspondence is a conjec...
Gespeichert in:
| Beteilige Person: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | Englisch |
| Veröffentlicht: |
Cambridge
Cambridge University Press
1997
|
| Schriftenreihe: | Cambridge studies in advanced mathematics
56 |
| Schlagwörter: | |
| Links: | https://doi.org/10.1017/CBO9780511661969 https://doi.org/10.1017/CBO9780511661969 https://doi.org/10.1017/CBO9780511661969 https://doi.org/10.1017/CBO9780511661969 |
| Zusammenfassung: | Cohomology of Drinfeld Modular Varieties provides an introduction, in two volumes, both to this subject and to the Langlands correspondence for function fields. These varieties are the analogues for function fields of the Shimura varieties over number fields. The Langlands correspondence is a conjectured link between automorphic forms and Galois representations over a global field. By analogy with the number-theoretic case, one expects to establish the conjecture for function fields by studying the cohomology of Drinfeld modular varieties, which has been done by Drinfeld himself for the rank two case. This second volume is concerned with the Arthur-Selberg trace formula, and with the proof in some cases of the Rmamanujan-Petersson conjecture and the global Langlands conjecture for function fields. It is based on graduate courses taught by the author, who uses techniques which are extensions of those used to study Shimura varieties. Though the author considers only the simpler case of function rather than number fields, many important features of the number field case can be illustrated. Several appendices on background material keep the work reasonably self-contained. It is the first book on this subject and will be of much interest to all researchers in algebraic number theory and representation theory |
| Beschreibung: | Title from publisher's bibliographic system (viewed on 31 May 2016) |
| Umfang: | 1 online resource (xi, 366 Seiten) |
| ISBN: | 9780511661969 |
| DOI: | 10.1017/CBO9780511661969 |
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| 520 | |a Cohomology of Drinfeld Modular Varieties provides an introduction, in two volumes, both to this subject and to the Langlands correspondence for function fields. These varieties are the analogues for function fields of the Shimura varieties over number fields. The Langlands correspondence is a conjectured link between automorphic forms and Galois representations over a global field. By analogy with the number-theoretic case, one expects to establish the conjecture for function fields by studying the cohomology of Drinfeld modular varieties, which has been done by Drinfeld himself for the rank two case. This second volume is concerned with the Arthur-Selberg trace formula, and with the proof in some cases of the Rmamanujan-Petersson conjecture and the global Langlands conjecture for function fields. It is based on graduate courses taught by the author, who uses techniques which are extensions of those used to study Shimura varieties. Though the author considers only the simpler case of function rather than number fields, many important features of the number field case can be illustrated. Several appendices on background material keep the work reasonably self-contained. It is the first book on this subject and will be of much interest to all researchers in algebraic number theory and representation theory | ||
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Datensatz im Suchindex
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| author | Laumon, Gérard |
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| discipline | Mathematik |
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| id | DE-604.BV043940472 |
| illustrated | Not Illustrated |
| indexdate | 2024-12-20T17:49:14Z |
| institution | BVB |
| isbn | 9780511661969 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-029349442 |
| oclc_num | 967600316 |
| open_access_boolean | |
| owner | DE-12 DE-92 DE-355 DE-BY-UBR DE-83 |
| owner_facet | DE-12 DE-92 DE-355 DE-BY-UBR DE-83 |
| physical | 1 online resource (xi, 366 Seiten) |
| psigel | ZDB-20-CBO ZDB-20-CBO BSB_PDA_CBO ZDB-20-CBO FHN_PDA_CBO ZDB-20-CBO UBR Einzelkauf (Lückenergänzung CUP Serien 2018) |
| publishDate | 1997 |
| publishDateSearch | 1997 |
| publishDateSort | 1997 |
| publisher | Cambridge University Press |
| record_format | marc |
| series | Cambridge studies in advanced mathematics |
| series2 | Cambridge studies in advanced mathematics |
| spelling | Laumon, Gérard Verfasser (DE-588)121178242 aut Cohomology of Drinfeld modular varieties, Part 2, Automorphic forms, trace formulas, and Langlands correspondence Gérard Laumon ; appendix by Jean Loup Waldspurger Cambridge Cambridge University Press 1997 1 online resource (xi, 366 Seiten) txt rdacontent c rdamedia cr rdacarrier Cambridge studies in advanced mathematics 56 Title from publisher's bibliographic system (viewed on 31 May 2016) Cohomology of Drinfeld Modular Varieties provides an introduction, in two volumes, both to this subject and to the Langlands correspondence for function fields. These varieties are the analogues for function fields of the Shimura varieties over number fields. The Langlands correspondence is a conjectured link between automorphic forms and Galois representations over a global field. By analogy with the number-theoretic case, one expects to establish the conjecture for function fields by studying the cohomology of Drinfeld modular varieties, which has been done by Drinfeld himself for the rank two case. This second volume is concerned with the Arthur-Selberg trace formula, and with the proof in some cases of the Rmamanujan-Petersson conjecture and the global Langlands conjecture for function fields. It is based on graduate courses taught by the author, who uses techniques which are extensions of those used to study Shimura varieties. Though the author considers only the simpler case of function rather than number fields, many important features of the number field case can be illustrated. Several appendices on background material keep the work reasonably self-contained. It is the first book on this subject and will be of much interest to all researchers in algebraic number theory and representation theory Drinfeld modular varieties Homology theory Shimura-Mannigfaltigkeit (DE-588)4181143-4 gnd rswk-swf Kohomologietheorie (DE-588)4164610-1 gnd rswk-swf Automorphe Form (DE-588)4003972-9 gnd rswk-swf Spurformel (DE-588)4182612-7 gnd rswk-swf Drinfeld-Modul (DE-588)4132653-2 gnd rswk-swf Shimura-Mannigfaltigkeit (DE-588)4181143-4 s Drinfeld-Modul (DE-588)4132653-2 s Kohomologietheorie (DE-588)4164610-1 s Automorphe Form (DE-588)4003972-9 s Spurformel (DE-588)4182612-7 s DE-604 Erscheint auch als Druck-Ausgabe 978-0-521-47061-2 Erscheint auch als Druck-Ausgabe 978-0-521-10990-1 Cambridge studies in advanced mathematics 56 (DE-604)BV044781283 56 https://doi.org/10.1017/CBO9780511661969 Verlag URL des Erstveröffentlichers Volltext |
| spellingShingle | Laumon, Gérard Cohomology of Drinfeld modular varieties, Part 2, Automorphic forms, trace formulas, and Langlands correspondence Cambridge studies in advanced mathematics Drinfeld modular varieties Homology theory Shimura-Mannigfaltigkeit (DE-588)4181143-4 gnd Kohomologietheorie (DE-588)4164610-1 gnd Automorphe Form (DE-588)4003972-9 gnd Spurformel (DE-588)4182612-7 gnd Drinfeld-Modul (DE-588)4132653-2 gnd |
| subject_GND | (DE-588)4181143-4 (DE-588)4164610-1 (DE-588)4003972-9 (DE-588)4182612-7 (DE-588)4132653-2 |
| title | Cohomology of Drinfeld modular varieties, Part 2, Automorphic forms, trace formulas, and Langlands correspondence |
| title_auth | Cohomology of Drinfeld modular varieties, Part 2, Automorphic forms, trace formulas, and Langlands correspondence |
| title_exact_search | Cohomology of Drinfeld modular varieties, Part 2, Automorphic forms, trace formulas, and Langlands correspondence |
| title_full | Cohomology of Drinfeld modular varieties, Part 2, Automorphic forms, trace formulas, and Langlands correspondence Gérard Laumon ; appendix by Jean Loup Waldspurger |
| title_fullStr | Cohomology of Drinfeld modular varieties, Part 2, Automorphic forms, trace formulas, and Langlands correspondence Gérard Laumon ; appendix by Jean Loup Waldspurger |
| title_full_unstemmed | Cohomology of Drinfeld modular varieties, Part 2, Automorphic forms, trace formulas, and Langlands correspondence Gérard Laumon ; appendix by Jean Loup Waldspurger |
| title_short | Cohomology of Drinfeld modular varieties, Part 2, Automorphic forms, trace formulas, and Langlands correspondence |
| title_sort | cohomology of drinfeld modular varieties part 2 automorphic forms trace formulas and langlands correspondence |
| topic | Drinfeld modular varieties Homology theory Shimura-Mannigfaltigkeit (DE-588)4181143-4 gnd Kohomologietheorie (DE-588)4164610-1 gnd Automorphe Form (DE-588)4003972-9 gnd Spurformel (DE-588)4182612-7 gnd Drinfeld-Modul (DE-588)4132653-2 gnd |
| topic_facet | Drinfeld modular varieties Homology theory Shimura-Mannigfaltigkeit Kohomologietheorie Automorphe Form Spurformel Drinfeld-Modul |
| url | https://doi.org/10.1017/CBO9780511661969 |
| volume_link | (DE-604)BV044781283 |
| work_keys_str_mv | AT laumongerard cohomologyofdrinfeldmodularvarietiespart2automorphicformstraceformulasandlanglandscorrespondence |