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Corpus ID: 119604483

Arthur packets for $p$-adic groups by way of microlocal vanishing cycles of perverse sheaves, with examples

@article{Cunningham2017ArthurPF,
title={Arthur packets for \$p\$-adic groups by way of microlocal vanishing cycles of perverse sheaves, with examples},
author={C. Cunningham and A. Fiori and A. Moussaoui and James A Mracek and Bin Xu},
journal={arXiv: Representation Theory},
year={2017}
}

In this article we propose a geometric description of Arthur packets for $p$-adic groups using vanishing cycles of perverse sheaves. Our approach is inspired by the 1992 book by Adams, Barbasch and Vogan on the Langlands classification of admissible representations of real groups and follows the direction indicated by Vogan in his 1993 paper on the Langlands correspondence. Using vanishing cycles, we introduce and study a functor from the category of equivariant perverse sheaves on the moduli… CONTINUE READING