论文标题

沃根(Vogan

Proof of Vogan's conjecture on Arthur packets: irreducible parameters of p-adic general linear groups

论文作者

Cunningham, Clifton, Ray, Mishty

论文摘要

在本文中,我们证明了Vogan在本地Arthur数据包上的猜想,对于$ p $ -Adic的通用线性组的Arthur参数,这些参数不可记录为$ W_F \ Times SL_2(\ Mathbb {C})\ Times SL_2(\ times sl_2)(\ Mathbb {c})$ - 我们参数irred参数。该结果表明,这些Arthur数据包的特征在于Langlands参数的模量空间上的简单变形带轮的性质。

In this paper we prove Vogan's conjecture on local Arthur packets, for Arthur parameters of $p$-adic general linear groups that are irreducible as representations of $W_F \times SL_2(\mathbb{C}) \times SL_2(\mathbb{C})$ - we refer to such parameters as irreducible Arthur parameters. This result shows that these Arthur packets may be characterized by properties of simple perverse sheaves on a moduli space of Langlands parameters.

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