${\mathrm{PGL}}_2({\mathbb{Q}}_p)$-orbit closures on a $p$-adic homogeneous space of infinite volume

Jinho Jeoung, Seonhee Lim

Let $\mathbb{K}$ be an unramified quadratic extension of ${\mathbb{Q}}_p$ for a fixed $p>2$. Projective general linear groups $G={\mathrm{PGL}}_2(\mathbb{K})$ and $H=\operato…