| Résume | In this talk I will discuss non-archimedean orbifolds covered byMumford curves, our viewpoint to approach them is through the theoryof p-adic orbifolds due to Yves André. After brieflyexplaining general ideas I will give three applications, first two ofwhich are by joint-work with Gunther Cornelissen and AristeidesKontogeorgis: (1) (char=p) sharp bound for the order of automorphismgroups of Mumford curves in positive characteristic, (2) (char=p)determination of automorphism group of Drinfeld modular curves, and(3) (char=0) classification of p-adic schwarzian triangle groupsrelated to Schottky-Mumford uniformization. |
