On stability and endoscopic transfer of unipotent orbital integrals on p-adic symplectic groups
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Bibliographic Information
On stability and endoscopic transfer of unipotent orbital integrals on p-adic symplectic groups
（Memoirs of the American Mathematical Society, no. 635）
American Mathematical Society, 1998
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"July 1998, volume 134, number 635 (first of 6 numbers)"
Includes bibliographical references
Description and Table of Contents
Description
The theory of endoscopy is an intriguing part of the Langlands program, as it provides a way to attack the functoriality principle of Langlands for certain pairs of reductive groups $(G,H)$, in which $H$ is what is known as an endoscopic group for $G$. The starting point for this method is a close study of the relationship of orbital integrals on $G$ with stable orbital integrals on $H$. This volume investigates unipotent orbital integrals of spherical functions on $p$-adic symplectic groups. The results are then put into a conjectural framework, that predicts (for split classical groups) which linear combinations of unipotent orbital integrals are stable distributions.
Table of Contents
Introduction Unipotent orbits and prehomogeneous spaces The Hecke algebra and some Igusa local orbital zeta functions The evaluation of $f^H$ at the identity Matching of unipotent orbital integrals Remarks on stability and endoscopic transfer Appendix I Appendix II References.
by "Nielsen BookData"
