The Geometry and Cohomology of Some Simple Shimura Varieties. (AM-151).

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Bibliographic Details
Author / Creator:Harris, Michael, 1954-
Imprint:Princeton : Princeton University Press, 2001.
Description:1 online resource (288 pages)
Language:English
Series:Annals of Mathematics Studies ; v. 151
Annals of mathematics studies.
Subject:
Format: E-Resource Book
URL for this record:http://pi.lib.uchicago.edu/1001/cat/bib/11276078
Hidden Bibliographic Details
Other authors / contributors:Taylor, R. L. (Richard Lawrence), 1962-
ISBN:9781400837205
1400837200
0691090920
9780691090924
Digital file characteristics:text file PDF
Notes:In English.
Print version record.
Summary:This book aims first to prove the local Langlands conjecture for GLn over a p-adic field and, second, to identify the action of the decomposition group at a prime of bad reduction on the l-adic cohomology of the ""simple"" Shimura varieties. These two problems go hand in hand. The results represent a major advance in algebraic number theory, finally proving the conjecture first proposed in Langlands's 1969 Washington lecture as a non-abelian generalization of local class field theory. The local Langlands conjecture for GLn(K), where K is a p-adic field, asserts.
Other form:Print version: Harris, Michael. Geometry and Cohomology of Some Simple Shimura Varieties. (AM-151). Princeton : Princeton University Press, ©2001 9780691090924
Standard no.:10.1515/9781400837205