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OverviewLanglands theory predicts deep relationships between representations of different reductive groups over a local or global field. The trace formula attempts to reduce many such relationships to problems concerning conjugacy classes and integrals over conjugacy classes (orbital integrals) on p-acid groups. It is possible to reformulate these problems as ones in algebraic geometry by associating a variety Y to each reductive group. Using methods of Igusa, the geometrical properties of the variety give detailed information about the asymptotic behaviour of integrals over conjugacy classes. This monograph constructs the variety Y and describes its geometry. As an application, the author uses the variety to give formulas for the leading terms (regular and subregular germs) in the asymptotic expansion of orbital integrals over p-acid fields. The final chapter shows how the properties of the variety may be used to confirm some predictions of Langlands theory on orbital integrals, Shalika germs, and endoscopy. Full Product DetailsAuthor: Thomas C. HalesPublisher: American Mathematical Society Imprint: American Mathematical Society Volume: No. 476 Weight: 0.312kg ISBN: 9780821825396ISBN 10: 0821825399 Pages: 142 Publication Date: 30 September 1992 Audience: College/higher education , Professional and scholarly , Postgraduate, Research & Scholarly , Professional & Vocational Format: Paperback Publisher's Status: Active Availability: To order  Stock availability from the supplier is unknown. We will order it for you and ship this item to you once it is received by us. Table of ContentsBasic constructions Coordinates and coordinate relations Groups of rank two The subregular spurious divisor The subregular fundamental divisor Rationality and characters Applications to endoscopic groups.ReviewsAuthor InformationTab Content 6Author Website:Countries AvailableAll regions |
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