- Algebraic groups and Lie groups(background)
- Arithmetic group -what is it?
- Cofinite and cocompact arithmetic subgroups. Constructions and examples.
- The Tamagava measure and local calculations in SL(2).
- Covolumes of the arithmetic subgroups in SL(2) (Borel Theorem).
- Congruence-subgroups and the congruence problem in SL(2)(Serre theorem).
- Hyperbolic 3- orbifolds and arithmetic groups in SL(2).