Presented by: 
Dr. Thomas Leistner (Adelaide)
Date: 
Mon 28 May, 2:00 pm - 3:00 pm
Venue: 
N201 in Hawken (50)

In the first part of the talk I will illustrate some basic concepts of differential geometry that lead to the notion of a holonomy group. Holonomy groups are algebraic objects that, despite of being algebraic in nature, have strong implications for the geometry of curved spaces. Then I will explain how holonomy groups can be classified and how this classification can be used to learn about solutions of differential equations on manifolds. Finally, I will focus on holonomy groups of Lorentzian manifolds and indicate briefly why all this is of relevance to present-day theoretical physics.