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arXiv · 2410.10059

Approche non-invariante de la correspondance de Jacquet-Langlands: analyse g\'eom\'etrique

Yan-Der Lu
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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.

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BibTeXRIS

Yan-Der Lu. 2024-10-14. Approche non-invariante de la correspondance de Jacquet-Langlands: analyse g\'eom\'etrique. https://arxiv.org/abs/2410.10059

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