We study the geometry of the special fibers of certain Shimura curves and give a direct proof of global-to-local Jacquet-Langlands compatibility by Čerednik-Drinfel'd uniformizations theorem.
"A Note on Special Fibers of Shimura Curves and Special Representations." Taiwanese J. Math. 24 (3) 523 - 544, June, 2020. https://doi.org/10.11650/tjm/190704