6 problems

Jiang Conjecture. The following hold: (1) if a partition $\underline p$ is not related to $\eta_{\widehat{\mathfrak g}_n,\mathfrak g_n}(\underline p(\psi))$, then…

Enhanced Shahidi Conjecture. For any quasi-split reductive group $G$, a local Arthur packet is tempered if and only if it has a generic member.

The wavefront-set upper-bound conjecture. For any $\underline{p}\in\frak{p}^m(\tilde{\pi}_{\psi})$,

Let $G_n$ be the group considered in the paper, let $\psi$ be a local Arthur parameter, let $\widetilde\Pi^J_\psi$ be the Jiang packet, let $\widehat\Pi_{\phi_{\widehat\psi}}$ be t…

Closure ordering conjecture. For every $pi e Pipsi$, one has

Maximal and minimal parameter conjecture. For any $psi1,psi2 e Psi(pi)$, one has $lambda{phi{psi1}}=lambda{phi{psi2}}$. Moreover, there are unique…