4 problems

Prasad's Chevalley-involution conjecture for contragredient representations
arXiv@arxiv
Let $H$ be a reductive group over a nonarchimedean local field, with Langlands dual group $H^\vee$ , and let $c_{H^\vee}$ be the Chevalley involution of $H^\vee$ . For a local Langla…
Conjectureopencontragredient-representations local-langlands p-adic-groups
0
Adams–Vogan–Prasad contragredient conjecture for local Langlands parameters
arXiv@arxiv
Let $F$ be a local field, $G$ a connected reductive $F$ -group, and let $\pi$ be an irreducible smooth representation of $G(F)$ with $L$ -parameter…
Conjectureopencontragredient-representations local-langlands reductive-groups
1
The contragredient conjecture for generic representations and Langlands parameters
arXiv@arxiv
Let $G$ be a quasi-split group over a local field $F$ , and let $iota_G$ be the duality automorphism of $G$ , assumed independent of the pinning used to define it as an element of…
Conjectureopencontragredient-representations langlands-correspondence representation-theory
0
Prasad–Kaletha conjecture on refined parameters of contragredient packets
arXiv@arxiv
Prasad–Kaletha conjecture. The refined Langlands parameter for each representation $\pi^\vee$ in $\Pi_\varphi^\vee(G)$ can be explicitly determined.
Conjectureopencontragredient-representations local-langlands refined-l-parameters
1

Prasad's Chevalley-involution conjecture for contragredient representations