Beyond SL2(R): Time-Changes and Other Perturbations in Different Settings - Lecture 6

Explore the final lecture in a six-part series on horocycle flows and their time-changes, focusing on applications beyond SL2(R). Delve into advanced mathematical concepts examining time-changes and various perturbations in different mathematical settings, building upon the previous discussions of ergodicity, mixing properties, and Ratner's Rigidity Theorem. Learn how the fundamental principles of homogeneous unipotent flows and uniformly parabolic dynamics extend beyond their original context in PSL2(R) and the hyperbolic plane. Understand how these mathematical tools and concepts can be applied to analyze dynamical systems in broader contexts, providing insights into the behavior of more complex mathematical structures.