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Cohomology of Drinfeld modular varie...

Laumon, Gerard.

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Cohomology of Drinfeld modular varieties.. Part 1,. Geometry, counting of points, and local harmonic analysis

Record Type:	Electronic resources : Monograph/item
Title/Author:	Cohomology of Drinfeld modular varieties./ Gerard Laumon.
Author:	Laumon, Gerard.
Published:	Cambridge :Cambridge University Press, : 1995.,
Description:	xiii, 344 p. :ill., digital ;24 cm.
Notes:	Title from publisher's bibliographic system (viewed on 31 May 2016).
Subject:	Drinfeld modular varieties. -
Online resource:	https://doi.org/10.1017/CBO9780511666162
ISBN:	9780511666162

Cohomology of Drinfeld modular varieties.. Part 1,. Geometry, counting of points, and local harmonic analysis
Laumon, Gerard.

Cohomology of Drinfeld modular varieties.Part 1,Geometry, counting of points, and local harmonic analysis[electronic resource] /Gerard Laumon. - Cambridge :Cambridge University Press,1995. - xiii, 344 p. :ill., digital ;24 cm. - Cambridge studies in advanced mathematics ;41. - Cambridge studies in advanced mathematics ;41..

Title from publisher's bibliographic system (viewed on 31 May 2016).

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.

ISBN: 9780511666162Subjects--Topical Terms:

708476
Drinfeld modular varieties.

LC Class. No.: QA251 / .L287 1996

Dewey Class. No.: 512.24

Cohomology of Drinfeld modular varieties.. Part 1,. Geometry, counting of points, and local harmonic analysis
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245 1 0 $a Cohomology of Drinfeld modular varieties. $n Part 1, $p Geometry, counting of points, and local harmonic analysis $h [electronic resource] / $c Gerard Laumon.
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500 $a Title from publisher's bibliographic system (viewed on 31 May 2016).
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.
650 0 $a Drinfeld modular varieties. $3 708476
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830 0 $a Cambridge studies in advanced mathematics ; $v 41. $3 3470705
856 4 0 $u https://doi.org/10.1017/CBO9780511666162