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.
General
| Imprint: |
Cambridge UniversityPress
|
| Country of origin: |
United Kingdom |
| Series: |
Cambridge Studies in Advanced Mathematics |
| Release date: |
December 2010 |
| First published: |
November 2010 |
| Authors: |
Gerard Laumon
|
| Dimensions: |
229 x 152 x 20mm (L x W x T) |
| Format: |
Paperback - Trade
|
| Pages: |
360 |
| ISBN-13: |
978-0-521-17274-5 |
| Categories: |
Books >
Science & Mathematics >
Mathematics >
Algebra >
General
|
| LSN: |
0-521-17274-8 |
| Barcode: |
9780521172745 |
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