Summer Lectures in Geometry 

14/06/2005, 14:00 — 15:00 — Room P12, Mathematics Building
William Goldman, University of Maryland

Projective geometry on manifolds (I)

Geometric structures on topological spaces

• Klein geometries.
• Geometric atlases for Ehresmann structures.
• Fundamental domains and identification spaces.
• Developing the universal covering space.
• Representions of the fundamental group.
• The hierarchy of Klein geometries.
• Pathological developing maps.