Orders in finite-dimensional algebras over number fields give rise to interesting locally symmetric spaces and algebraic varieties. Hilbert modular varieties or arithmetically defined hyperbolic 3-manifolds, compact ones as well as non-compact ones, are familiar examples. In this talk we discuss various cases related to the special linear group over orders in division algebras defined over some number field. Geometry, arithmetic and group theory are interwoven in a most fruitful way in these recent investigations.

Einladung von Prof. Anke Pohl