Automorphic Integral Transforms for Classical Groups I: Endoscopy Correspondences
Representation Theory
2013-01-01 v1
Abstract
A general framework of constructions of endoscopy correspondences via automorphic integral transforms for classical groups is formulated in terms of the Arthur classification of the discrete spectrum of square-integrable automorphic forms. This suggests a principle, which is called the -theory of automorphic forms of classical groups, to reorganize and extend the series of work of Piatetski-Shapiro, Rallis, Kudla and others on standard -functions of classical groups and theta correspondence.
Cite
@article{arxiv.1212.6525,
title = {Automorphic Integral Transforms for Classical Groups I: Endoscopy Correspondences},
author = {Dihua Jiang},
journal= {arXiv preprint arXiv:1212.6525},
year = {2013}
}
Comments
80 pages, submitted to the proceedings of the conference: Automorphic Forms and Related Geometry: assessing the legacy of I.I. Piatetski-Shapiro