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Explore a lecture on the equidistribution of periodic tori in higher rank Lie groups. Delve into the extension of Bowen and Margulis' work on closed geodesics in compact hyperbolic surfaces to higher dimensional settings. Examine the joint research by Nguyen-Thi Dang and Jialun Li, focusing on Weyl chamber flows and their induced diagonal action in groups like SL(d,R) for d≥3. Discover how periodic tori equidistribute in this context, analogous to closed orbits in lower-dimensional cases. Gain insights into advanced topics in homogeneous dynamics and ergodic theory presented by Nguyen-Thi Dang from Université Paris-Saclay at the Institut des Hautes Etudes Scientifiques (IHES).
