4 problems

Let $G/H$ be a reductive homogeneous space in Setting, and let $\operatorname{Disc}(G/H)$ denote its discrete series representations. Kobayashi's conjecture. One has the equivalenc…

Let $G$ be a group such that $G(\mathbb{R})$ admits discrete series, let $\pi^S$ be an automorphic representation that is not $G$-Eisenstein, and write an automorphic cuspidal repr…

Let ${\underline{G}}$ be a connected reductive group defined over $\mathbb{R}$, let $G={\underline{G}}(\mathbb{R})$, and let ${\underline{H}}\subset{\underline{G}}$ be an algebraic…

Let $G$ be the reductive group under consideration, let $\pi$ be a regular discrete series representation of $G(\mathbb{R})$, and let $e_{\pi}$ denote the stable cuspidal test func…