The Subregular Germ of Orbital Integrals Thomas C. Hales

ISBN: 9780821825396

Published: January 1st 1992

Unknown Binding

142 pages


Description

The Subregular Germ of Orbital Integrals  by  Thomas C. Hales

The Subregular Germ of Orbital Integrals by Thomas C. Hales
January 1st 1992 | Unknown Binding | PDF, EPUB, FB2, DjVu, audiobook, mp3, RTF | 142 pages | ISBN: 9780821825396 | 6.19 Mb

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 overMoreLanglands 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 formulae 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.



Enter the sum





Related Archive Books



Related Books


Comments

Comments for "The Subregular Germ of Orbital Integrals":


megapechincha.goodread100mbooks.club

©2013-2015 | DMCA | Contact us