5 problems

Duality conjecture. Restricting ${\pi_{min}}$ to $A\times B$ should yield a Howe-type correspondence between suitable subsets of the admissible duals of $A$ and $B$.

Let $F$ be an archimedean local field and let $G\neq D_4$. Let ${\cal S}(C(F),{\cal L})\subset {\cal S}_{\infty}(C(F),{\cal L})$ be the space of sections $f$ such that, for every…

Let $F$ be an archimedean local field, let $G$ be one of the groups considered in the paper with $G\neq D_4$, let $R_0$ be the trivial twisted coinvariant space of the minimal repr…

Let $G$ be one of the groups considered in the paper, let $R$ be an archimedean minimal representation, and let $J(R)$ be its Jacquet functor with respect to the relevant parabolic…

Let $X$ be a smooth projective curve of genus $g$ over ${\mathbb F}_q$, let $s=1,2,4$ for $G=E_6,E_7,E_8$, respectively, and let $f_0$ be the product of spherical vectors over all…