Cohomology of Drinfeld modular varieties: Part 1 Geometry, counting of points, and local harmonic analysis
Originally published in 1995, Cohomology of Drinfeld Modular Varieties aimed to provide 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. Th...
Gespeichert in:
| Beteilige Person: | |
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| Format: | E-Book |
| Sprache: | Englisch |
| Veröffentlicht: |
Cambridge
Cambridge University Press
1995
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| Schriftenreihe: | Cambridge studies in advanced mathematics
41 |
| Links: | https://doi.org/10.1017/CBO9780511666162 |
| Zusammenfassung: | Originally published in 1995, Cohomology of Drinfeld Modular Varieties aimed to provide 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. The present volume is devoted to the geometry of these varieties, and to the local harmonic analysis needed to compute their cohomology. 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. |
| Umfang: | 1 Online-Ressource (xiii, 344 Seiten) |
| ISBN: | 9780511666162 |
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| 520 | |a Originally published in 1995, Cohomology of Drinfeld Modular Varieties aimed to provide 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. The present volume is devoted to the geometry of these varieties, and to the local harmonic analysis needed to compute their cohomology. 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. | ||
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| spelling | Laumon, Gérard Cohomology of Drinfeld modular varieties Part 1 Geometry, counting of points, and local harmonic analysis Gérard Laumon Cambridge Cambridge University Press 1995 1 Online-Ressource (xiii, 344 Seiten) txt c cr Cambridge studies in advanced mathematics 41 Originally published in 1995, Cohomology of Drinfeld Modular Varieties aimed to provide 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. The present volume is devoted to the geometry of these varieties, and to the local harmonic analysis needed to compute their cohomology. 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. Erscheint auch als Druck-Ausgabe 9780521172745 Erscheint auch als Druck-Ausgabe 9780521470605 |
| spellingShingle | Laumon, Gérard Cohomology of Drinfeld modular varieties |
| title | Cohomology of Drinfeld modular varieties |
| title_auth | Cohomology of Drinfeld modular varieties |
| title_exact_search | Cohomology of Drinfeld modular varieties |
| title_full | Cohomology of Drinfeld modular varieties Part 1 Geometry, counting of points, and local harmonic analysis Gérard Laumon |
| title_fullStr | Cohomology of Drinfeld modular varieties Part 1 Geometry, counting of points, and local harmonic analysis Gérard Laumon |
| title_full_unstemmed | Cohomology of Drinfeld modular varieties Part 1 Geometry, counting of points, and local harmonic analysis Gérard Laumon |
| title_short | Cohomology of Drinfeld modular varieties |
| title_sort | cohomology of drinfeld modular varieties geometry counting of points and local harmonic analysis |
| work_keys_str_mv | AT laumongerard cohomologyofdrinfeldmodularvarietiespart1 |