4 problems

Let $G$ be a connected reductive quasi-split algebraic group defined over $F$, and let an $A$-packet mean the packet of representations associated with an $A$-parameter for $G$. Le…

Let $\pi$ be a tempered unipotent representation of $\mathrm{SO}_{2n+1}(F)$, and let $\phi_{\hat \pi}$ be the $L$-parameter attached to its Aubert dual. Write…

Aubert–Zelevinsky duality conjecture. If $X=X(q^{\frac{1}{2}{\it h}},\mathcal{S},\mathcal{L})$ is an irreducible unipotent representation in…

Let $\mathcal{E} = \cup_{\rho}\{ ([A_i,B_i]_{\rho}, l_i, \eta_i) \}_{i \in (I_\rho,>)}$ be an extended multi-segment, and let … be the extended multi-segment defined from…