6 problems

Let $K$ be a global field, let $\mathbb{A}_K$ be its adele ring, let ${\bf G}$ be a reductive group over $K$, and let $\rho$ be a representation of the Langlands dual group. Let…

Relative Poisson summation conjecture. One can choose these Schwartz spaces so that (FT1), (FT2'), (FT3), (basic:norm), (rapidlydecreasing), (Frechet), (nA:ratio), (Arch:ratio), an…

Poisson summation conjecture. One can choose these Schwartz spaces so that the properties (FT1), (FT2), (FT3), (basic:norm), (rapidlydecreasing), (Frechet), (nA:ratio), (Arch:ratio…

Let $k$ be a number field, let $G$ be a $k$-split reductive group, and let $\rho\colon G^\vee(\mathbb{C})\to\operatorname{GL}_n(\mathbb{C})$ be a finite-dimensional representation.…

Poisson summation conjecture. Affine spherical varieties admit Schwartz spaces and Fourier transforms satisfying this Poisson summation formula. The conjecture is part of the Brave…

Let $G$ be a split reductive group, and let $\rho:{}^LG^{\circ} \longrightarrow \mathrm{GL}(V_\rho)$ be a representation of the neutral component of the $L$-group. Braverman–Kazhda…