** Seminar **

H. Geiges

Summer Semester 2002

Wednesdays, 12:00-14:00, Seminarraum 2, begin: 17 April

Vorbesprechung: Donnerstag 14.2.02, 12:00, Seminarraum 2

**Schedule of talks.**

17.04.02 | Euclidean and Spherical Surfaces I (U. Kleine) | ||||||

24.04.02 | Euclidean and Spherical Surfaces II (R. Martins) | ||||||

08.05.02 | Models of the Hyperbolic Plane (K. Kaune) | ||||||

15.05.02 | Geodesics and Isometries of H^{2}
(P. Schlautmann) |
||||||

29.05.02 | Classification of Isometries of H^{2}
(N. Runte) |
||||||

05.06.02 | Hyperbolic Surfaces I (A. Lehmann) | ||||||

12.06.02 | Kein Seminar |
||||||

19.06.02 | Hyperbolic Surfaces II (M.A. Rodriguez) | ||||||

26.06.02 | Orbifolds and the Riemann-Hurwitz Formula (I. Wieck) | ||||||

03.07.02 | Seifert Fibre Spaces, the eight 3-dimensional Geometries, geometric 3-manifolds (H. Geiges) |
||||||

10.07.02 | Geometry of the Universe (G. Kalil) |

**Literature.**

The main sources are:

- the book of J. Stillwell,
Geometry of surfaces , Springer 1992, for the first seven talks; - the paper of P. Scott,
The geometries of 3-manifolds , Bull. London. Math. Soc. 15 (1983), 401-487, for the following ones. - W.P. Thurston,
Three-Dimensional Geometry and Topology , vol. 1, Princeton University Press 1997, as a general companion.

- Audin,
The Topology of Torus Actions on Symplectic Manifolds , Birkhäuser 1991.

- N. J. Cornish, J. R. Weeks,
Measuring the shape of the universe , Notices of the AMS, December 1998 - M. Lachièze-Rey, J.-P. Luminet,
Cosmic Topology , Physics Reports 245 (1995), 135-214

- G. D. Starkman,
Topology and Cosmology , 2529-2538; - J. R. Weeks,
Reconstructing the global topology of the universe from the cosmic microwave background , 2599-2604; - V. B. Roukema, V. Blanloeil,
Three-dimensional topology-independent methods to look for global topology , 2645-2655; - J. Levin, E. Scannapieco, J. Silk,
The topology of the universe: the biggest manifold of them all , 2689-2697; - J. R. Gott,
Topology and the universe , 2719-2731.

*
F. Pasquotto, February 13, 2002.
*