Symmetric Spaces by Pralay Chatterjee

Delve into the second lecture on symmetric spaces, part of the Geometry, Groups and Dynamics (GGD) 2017 program at the International Centre for Theoretical Sciences. Explore advanced concepts in geometry, dynamical systems, and group actions over the course of 1 hour and 14 minutes. Gain insights from Pralay Chatterjee of IMSc, Chennai as he builds upon the foundation laid in the pre-school week, which covered discrete subgroups of Lie groups. Connect this lecture to the broader context of the three-week program, which includes topics such as hyperbolic geometry, geometric group theory, Riemannian geometry, and Teichmüller theory. Prepare for an in-depth exploration of symmetric spaces, a crucial topic in the intersection of geometry and group theory.