Homogeneous Dynamics and u-Gibbs States

Explore homogeneous dynamics and u-Gibbs states in this 53-minute lecture by Rafael Potrie from Universidad de la Republica, Montevideo, presented at the Institut des Hautes Etudes Scientifiques (IHES). Delve into the central concepts of orbit closure and measure classification in homogeneous dynamics, and discover how recent techniques have provided more robust approaches to these results. Examine the potential for extending these findings to non-homogeneous settings, and learn about the natural questions that arise in non-linear contexts. Gain insights into the progress made in this direction as Potrie discusses the challenges and opportunities in applying homogeneous dynamics principles to broader mathematical landscapes.