The Subregular Germ of Orbital Intervals - Couverture souple

Hales, Thomas C.

Couverture souple

ISBN 10 : 0821825399 ISBN 13 : 9780821825396

Editeur : American Mathematical Society, 1992

Synopsis

Langlands 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 $p$-adic 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 behavior 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 $p$-adic 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.

Détails de l'édition

• Éditeur: American Mathematical Society
• Date d'édition: 1992
• Langue: anglais
• ISBN 10: 0821825399
• ISBN 13: 9780821825396
• Reliure: Broché
• Nombre de pages: 142
• Coordonnées du fabricant: non disponible
• Personne responsable: non disponible