Women in Dynamical Systems & Ergodic Theory
timetable:
Mon 20 May, 14:00 - 15:00, Aula Dini
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Equidistribution of Periodic Tori
speaker: Nguyen-Thi Dang (Universitè Paris-Saclay)abstract: Résumé. Bowen and Margulis independently proved in the 70s that closed geodesics on compact hyper- bolic surfaces equidistribute towards the measure of maximal entropy. From a homogeneous dynamics point of view, this measure is the quotient of the Haar measure on PSL(2, R) modulo some discrete cocompact sugroup. In a joint work with Jialun Li, we investigate the higher rank setting of this problem by taking a higher rank Lie group (like SL(d, R) for d ≥ 3) and by studying the dynamical properties of geodesic flows in higher rank : the so-called Weyl chamber flows and their induced diagonal action. We obtain an equidistribution formula of periodic tori (instead of closed orbits of the geodesic flow).
timetable:
Mon 20 May, 14:00 - 15:00, Aula Dini
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