Week - 1 |
Hyperbolic Geometry, Hyperbolic metric, geodesics |
Week - 2 |
Isometries of hyperbolic plane |
Week - 3 |
Hyperbolic Area and The Gauss Bonnet Formula |
Week - 4 |
Definition of Fuchsian group and some examples |
Week - 5 |
The group PSL(2,R) |
Week - 6 |
Discrete groups |
Week - 7 |
Algebraic properties of Fuchsian groups |
Week - 8 |
Fundamental region of a Fuchsian group |
Week - 9 |
Dirichlet region and the construction of Dirichlet region for a Fuchsian group |
Week - 10 |
Isometric circles |
Week - 11 |
Ford fundamental region |
Week - 12 |
The geometry of Fuchsian groups |
Week - 13 |
Geometrically finite Fuchsian groups |
Week - 14 |
Co-compakt Fuchsian Groups |