3 problems

Let $G=G(W_n)$ and let $\psi,\psi'\in\Psi^+(G_n)$ be local Arthur parameters with $\psi\geq_C\psi'$. Suppose that $\pi\in\Pi_\psi\cap\Pi_{\psi'}$. The closure-monotonicity conjectu…

Closure ordering conjecture. For every $pi e Pi_\psi$, one has

Maximal and minimal parameter conjecture. For any $\psi_1,\psi_2 e \Psi(pi)$, one has $\lambda_{\phi_{\psi_1}}=\lambda_{\phi_{\psi_2}}$. Moreover, there are unique…