Explore a comprehensive survey on groups acting on hyperbolic spaces in this illuminating lecture by Mladen Bestvina. Delve into the fascinating world of geometric group theory as the speaker provides an in-depth overview of the subject, covering key concepts, recent developments, and open problems in the field. Gain insights into the interplay between group actions and hyperbolic geometry, and discover how these mathematical structures relate to various areas of mathematics and theoretical physics. Enhance your understanding of this important topic through clear explanations and illustrative examples presented by an expert in the field.