KIT - Department of Mathematics - Deforming hyperbolic reflection orbifolds in projective structures

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Talk Gye-Seon Lee

Talk Gye-Seon Lee

Deforming hyperbolic reflection orbifolds in projective structures

Speaker: Dr. Gye-Seon Lee, Heidelberg University
Place: Maschinenbau, Oberer Hörsaal (10.91, R 222)
Time: 24.5.2013, 14:00 - 15:00
Invited by: Prof. Dr. Enrico Leuzinger (Geometry-Day II)

Abstract

Let Q be a compact reflection orbifold of dimension at least three. By using Klein's model for hyperbolic geometry, hyperbolic structures on orbifolds provide examples of real projective structures. If Q admits a hyperbolic structure, then such a hyperbolic structure is unique. However, the induced real projective structure on some such orbifolds deforms into a family of real projective structures that are not induced from hyperbolic structures. We will describe a large class of compact hyperbolic reflection orbifolds with such deformations.