In the Spring 2021 quarter, Svetlana Jitomirskaya and I organized a seminar on ergodic theory, dynamics, and geometry, focused on understanding Ratner's theorems and their applications. Our main references were:

• Ergodic Theory, Geometry, and Dynamics - Curtis McMullen

• Ratner's Theorems on Unipotent Flows - Dave Witte Morris

My handwritten lecture notes from our weekly meetings can be found here. The meeting schedule is given below: