4 problems

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…

Let $k$ be a coefficient field, let $\mathrm{G}$ be a $p$-adic reductive group, and let an irreducible cuspidal $k$-representation of $\mathrm{G}$ be given. A construction from a c…

Let $\pi$ be a level $1$ cuspidal algebraic automorphic representation of ${\rm GL}_m$ over $\mathbb{Q}$ with motivic weight $23$ and with the weight $23$ occurring with multiplici…

Let $G$ be an isometry group over a non-archimedean field, and let cuspidal types be representations of compact open subgroups used to construct irreducible cuspidal representation…