Multiplicity one for the mod $p$ cohomology of Shimura curves: the tame case

Yongquan Hu, Haoran Wang

Let $F$ be a totally real field, $\mathfrak{p}$ an unramified place of $F$ dividing $p$ and $\overline{r}: \mathrm{Gal}(\overline{F}/F)\rightarrow\mathrm{GL}_2(\overline{\mathbb{F}…