Equidistribution of Periodic Tori
Offered By: Institut des Hautes Etudes Scientifiques (IHES) via YouTube
Course Description
Overview
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 dâ„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 UniversitĂ© Paris-Saclay at the Institut des Hautes Etudes Scientifiques (IHES).
Syllabus
Nguyen-Thi Dang - Equidistribution of Periodic Tori
Taught by
Institut des Hautes Etudes Scientifiques (IHES)
Related Courses
Hyperbolic Geometry, the Modular Group and Diophantine Approximation - Lecture 1International Centre for Theoretical Sciences via YouTube Young Towers for Geodesic Flows on Certain Non-Positively Curved Surfaces - ICTP 2021
ICTP Mathematics via YouTube Young Towers for Geodesic Flows on Certain Non-Positively Curved Surfaces - ICTP 2021
ICTP Mathematics via YouTube Dynamics of the Geodesic Flow on Surfaces Without Conjugate Points - Lecture 4
ICTP Mathematics via YouTube Dynamics of the Geodesic Flow on Surfaces Without Conjugate Points - Lecture 2
ICTP Mathematics via YouTube