The Geometry and Cohomology of Some Simple Shimura Varieties. (Am-151), Volume 151

by Richard Taylor and Michael Harris

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...

• Format: Paperback
• Language: English
• ISBN: 0691090920
• ISBN13: 9780691090924
• Release Date: January 2001
• Publisher: Princeton University Press
• Length: 288 Pages
• Weight: 0.91 lbs.
• Dimensions: 0.7" x 6.1" x 9.2"