Some Unipotent Arthur Packets for Reductive p-adic Groups

2022/10/01 by Dan Ciubotaru, Ciubotaru, Dan, Lucas Mason‐Brown +3 · 2 citations
Mathematics · #Advanced Algebra and Geometry #Algebraic Geometry and Number Theory #Geometry and complex manifolds

paper · pdf · doi:10.48550/arxiv.2210.00251

Abstract

Let k be a p-adic field and let G(k) be the k-points of a connected reductive group, inner to split. The set of Aubert-Zelevinsky duals of the constituents of a tempered L-packet form an Arthur packet for G(k). In this paper, we give an alternative characterization of such Arthur packets in terms of the wavefront set, proving in some instances a conjecture of Jiang-Liu and Shahidi. Pursuing an analogy with real and complex groups, we define some special unions of Arthur packets which we call weak Arthur packets and describe their constituents in terms of their Langlands parameters.

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