Sur une variante des troncatures d'Arthur
Pierre-Henri Chaudouard
TL;DR
This paper introduces a novel truncation method for the trace formula of GL(n) over number fields, linking unipotent contributions to zeta functions and Eisenstein series, inspired by Higgs bundle theory.
Contribution
It presents a new truncation technique derived from Higgs bundle research, enabling the computation of unipotent contributions via zeta functions and Eisenstein series.
Findings
Unipotent contributions can be expressed through zeta functions.
A new truncation method improves trace formula analysis.
The approach connects Higgs bundles with automorphic forms.
Abstract
We show that, for a large class of test functions, the unipotent contributions in the trace formula for over a number field, can be obtained from zeta functions and integrals of Eisenstein series. The main innovation is a new truncation borrowed from a work of Schiffmann on Higgs bundles.
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Taxonomy
TopicsAdvanced Algebra and Geometry · Analytic Number Theory Research · Algebraic Geometry and Number Theory