3 problems

Let $k$ be the number field and $G$ a $k$-split reductive group, with complex dual group $G^\vee(\mathbb{C})$. Let $\rho\colon G^\vee(\mathbb{C})\to\operatorname{GL}_n(\mathbb{C})$…

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.…