3 problems

Let $K$ be a $p$-adic field with residue cardinality $q$ such that $4\sqrt{q}\in\overline{\mathbb{Q}}_\ell4$, let $G$ be a quasi-split reductive group over $K$, and let…

Categorical local Langlands conjecture. The corresponding right adjoint is fully faithful when restricted to compact objects, and induces an equivalence of…

Let $G$ be a reductive group, let $B(G)_{\operatorname{bas}}$ denote the basic $sigma$-conjugacy classes, and let $G_b$ be the extended pure inner form corresponding to…