7 problems

Cuspidal-support compatibility conjecture. Under the local Langlands correspondence, the map $\mathbf{Sc}$ corresponds to Bernstein's cuspidal support map for irreducible smooth…

Cuspidal support compatibility conjecture. Under the local Langlands correspondence, this map should correspond to Bernstein's cuspidal support map for irreducible smooth $G$-repre…

Let $G$ be a reductive $p$-adic group, let $\mathfrak{s}\in{{\mathfrak B}}(G)$ be a Bernstein component, let $T_{\mathfrak{s},\mathrm{un}}$ be its unitary torus, let…

Let $G$ be a reductive $p$-adic group, let $\mathfrak{s}=[L,\omega]_G$ be an inertial equivalence class, let $R_{\mathfrak{s}}$ be the root system defined by the poles of the Haris…

Let $G$ be a reductive $p$-adic group, let $\mathfrak{s}=[L,\omega]_G$ be an inertial equivalence class, let $T_{\mathfrak{s}}$ be the corresponding complex torus, and let…

Let $F$ be a non-archimedean local field, $G$ a connected reductive algebraic group over $F$, and ${\mathfrak s}=[L,\omega]_G$ an inertial equivalence class. Let…

Let $F$) be a non-archimedean local field and $G$ a connected reductive algebraic group over $F$. For a Levi subgroup $L$ of $G$, write $W(G,L)=N_G(L)/L$. For an inertial equivalen…