Approche non-invariante de la correspondance de Jacquet-Langlands: analyse g\'eom\'etrique
Representation Theory
2024-10-15 v1
Abstract
In this two-part series of articles, we present a new proof comparing the trace formula for a general linear group with that of one of its inner forms. Our methodology relies on the trace formula for Lie algebras, incorporating the notion of non-invariant transfer of test functions. In the appendix A, we provide a description of conjugacy classes of an inner form of a general linear group. In the appendix B, we provide explicit computations of Haar measures. This article focuses on the geometric side of the trace formula.
Keywords
Cite
@article{arxiv.2410.10059,
title = {Approche non-invariante de la correspondance de Jacquet-Langlands: analyse g\'eom\'etrique},
author = {Yan-Der Lu},
journal= {arXiv preprint arXiv:2410.10059},
year = {2024}
}
Comments
Appendix B will eventually only appear in the arXiv version