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The Erwin Schroedinger Institute for Mathematical Physics

Summer School on Cartan Connections, Geometry of Homogeneous Spaces, and Dynamics

Cartan connections offer a general framework for the description of certain differential-geometric structures. The basic idea of this description is that the manifolds endowed with a Cartan geometry are described as ``curved analogs'' of a homogeneous space, called the homogeneous model of the geometry. The existence of an equivalent description of a geometric structure as a Cartan geometry usually is not straightforward but the result of a theorem, sometimes a rather difficult one. Usually, such results say that some structures give rise to a canonical Cartan connection. Several classical results in these directions go back to Élie Cartan.

Many of the geometric structures that can be equivalently described as Cartan geometries are studied independently by other means as well, and there are many recent examples of very fruitful interaction between these communities and people working on Cartan geometries. The aim of our workshop is to intensify this exchange. It is planned for two weeks with different emphasis and different participants in the two weeks, with some overlap. The main focus in the first week will be conformal geometry and its generalizations, while in week two, we want to focus on relations between Cartan geometries and dynamics.

See the schedules here: 
Week 1 (July 11-15)
Week 2 (July 18-22)

At a glance

Type: Workshop
Summer School
When: Jul 10, 2011 to
Jul 23, 2011
Organizers: A. Cap, C. Frances, K. Melnick
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