Cohomology of Drinfeld Modular Varieties, Part 2, Automorphic Forms, Trace Formulas and Langlands Correspondence PDF Download
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Author:
Publisher: Cambridge University Press
ISBN: 0521470617
Category :
Languages : en
Pages : 382
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Book Description
Author:
Publisher: Cambridge University Press
ISBN: 0521470617
Category :
Languages : en
Pages : 382
Get Book Here
Book Description
Author: Gérard Laumon
Publisher:
ISBN:
Category :
Languages : en
Pages : 344
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Book Description
Author: Gérard Laumon
Publisher: Cambridge University Press
ISBN: 9780521172745
Category : Mathematics
Languages : en
Pages : 0
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Book Description
Cohomology of Drinfeld Modular Varieties aims to provide an introduction to both the subject of the title and the Langlands correspondence for function fields. These varieties are the analogs for function fields of Shimura varieties over number fields. This present volume is devoted to the geometry of these varieties and to the local harmonic analysis needed to compute their cohomology. To keep the presentation as accessible as possible, the author considers the simpler case of function rather than number fields; nevertheless, many important features can still be illustrated. It will be welcomed by workers in number theory and representation theory.
Author: Gérard Laumon
Publisher:
ISBN:
Category :
Languages : en
Pages :
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Book Description
Author: Gérard Laumon
Publisher:
ISBN:
Category : Drinfeld modular varieties
Languages : en
Pages : 344
Get Book Here
Book Description
Author: Gérard Laumon
Publisher: Cambridge University Press
ISBN: 9780521172745
Category : Mathematics
Languages : en
Pages : 0
Get Book Here
Book Description
Cohomology of Drinfeld Modular Varieties aims to provide an introduction to both the subject of the title and the Langlands correspondence for function fields. These varieties are the analogs for function fields of Shimura varieties over number fields. This present volume is devoted to the geometry of these varieties and to the local harmonic analysis needed to compute their cohomology. To keep the presentation as accessible as possible, the author considers the simpler case of function rather than number fields; nevertheless, many important features can still be illustrated. It will be welcomed by workers in number theory and representation theory.
Author: Gérard Laumon
Publisher: Cambridge University Press
ISBN: 0521470609
Category : Mathematics
Languages : en
Pages : 362
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Book Description
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.
Author: Gérard Laumon
Publisher: Cambridge University Press
ISBN: 9780521470612
Category : Mathematics
Languages : en
Pages : 392
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Book Description
Cohomology of Drinfeld Modular Varieties aims to provide an introduction 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 ArthurSHSelberg trace formula, and to the proof in some cases of the Ramanujan-Petersson conjecture and the global Langlands conjecture for function fields. The author uses techniques that 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. This book will be of much interest to all researchers in algebraic number theory and representation theory.
Author: G. Laumon
Publisher:
ISBN:
Category :
Languages : en
Pages :
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Book Description
Author: Gérard Laumon
Publisher:
ISBN:
Category :
Languages : en
Pages : 292
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Book Description
