Vortrag am

Donnerstag, 4.2.2016


Ilka Agricola, Marburg

"How to classify homogeneous spaces...and why we should care about them"


Abstract:

Homogeneous spaces are manifolds with many symmetries, and as such they are a fantastic playground for mathematical models ranging from general relativity to solid state physics. In this talk, I will give a non-technical approach to the different types of symmetries that one likes to consider - like reflections, special properties of geodesics, curvature, or differential operators - with many examples and applications. In the last part, I will present some recent classification results on certain classes of homogeneous spaces, and why they are interesting.
The talk is suitable as an introduction to the vast area of homogeneous spaces for non-experts.