Dominated Representations, Intersections and Large Deviations

Explore a 46-minute lecture by Ryokichi Tanaka from Kyoto University, presented at the Institut des Hautes Etudes Scientifiques (IHES). Delve into the fascinating world of hyperbolic metrics in groups, examining how mean distortions and growth rates determine rough similarity classes. Investigate the connection between this concept and the rigidity of dominated representations, as well as concentration phenomena for counting measures on large balls. Gain insights into joint research conducted with Stephen Cantrell from the University of Warwick, covering topics such as dominated representations, intersections, and large deviations in mathematical theory.