discipline 
Mathematics

subject 
Riemann surfaces

lecturers 
Gábor Halász 
credits 
2 
period 
second semester 
curriculum 
Abstract
definition. Covering.
Continuation along curves, homotopy, Monodromy theorem, universal covering, covering group. Dirichlet
problem, Perron method. Green function. Homology.
Residue theorem. Classification
of simply connected surfaces, their Riemann mapping
theorems. Recovering
the surface from the covering group. Hyperbolic geometry. Discontinuous
groups of linear fractional transformations. Fundamental region, fundamental
polygon. Riemann
surface of analytic functions. Compact surfaces and complex algebraic curves. 
literature 

form of tuition 
Lectures 
mode of assessment 
oral exam 