5 problems

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.

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…

Let $\mathrm G$ be a connected reductive group over $F$ and let $G=\mathrm G(F)$. Assume a local Arthur-packet theory for $G$. Let $\Psi^+(G)$ be the set of local Arthur parameters…

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…