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arXiv · 1510.02783

Sur certaines contributions unipotentes dans la formule des traces d'Arthur

Pierre-Henri Chaudouard
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Abstract

We establish a fine expansion for the geometric part of the Arthur-Selberg trace formula (as it was conjectured by Werner Hoffmann). For the general linear group, we deduce an expression for the contributions of regular by blocks unipotent orbits (orbits with one Jordan block with multiplicity). As a consequence, we find formulas for Arthur's global coefficients attached to such orbits.

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Pierre-Henri Chaudouard. 2015-10-09. Sur certaines contributions unipotentes dans la formule des traces d'Arthur. https://arxiv.org/abs/1510.02783

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