September 5, 2019
3:00PM - 4:00PM
Math Tower 154
Add to Calendar
2019-09-05 15:00:00
2019-09-05 16:00:00
Ergodic Theory / Probability Seminar - Clark Butler
Title: Global rigidity of the periodic Lyapunov spectrum for geodesic flows of negatively curved locally symmetric spaces
Speaker: Clark Butler, Princeton
Abstract: We show that if a smooth Anosov flow f^{t} is orbit equivalent to the geodesic flow g^{t} of a negatively curved locally symmetric space X of dimension at least three and the Lyapunov spectra of the flow f^{t} at all periodic points are multiples of the corresponding Lyapunov spectra of g^{t} then f^{t} is smoothly orbit equivalent to g^{t}. If f^{t} is itself the geodesic flow of a negatively curved space Y then we further conclude that Y is homothetic to X. We deduce the Mostow rigidity theorem as a corollary.
Math Tower 154
OSU ASC Drupal 8
ascwebservices@osu.edu
America/New_York
public
Date Range
Add to Calendar
2019-09-05 15:00:00
2019-09-05 16:00:00
Ergodic Theory / Probability Seminar - Clark Butler
Title: Global rigidity of the periodic Lyapunov spectrum for geodesic flows of negatively curved locally symmetric spaces
Speaker: Clark Butler, Princeton
Abstract: We show that if a smooth Anosov flow f^{t} is orbit equivalent to the geodesic flow g^{t} of a negatively curved locally symmetric space X of dimension at least three and the Lyapunov spectra of the flow f^{t} at all periodic points are multiples of the corresponding Lyapunov spectra of g^{t} then f^{t} is smoothly orbit equivalent to g^{t}. If f^{t} is itself the geodesic flow of a negatively curved space Y then we further conclude that Y is homothetic to X. We deduce the Mostow rigidity theorem as a corollary.
Math Tower 154
Department of Mathematics
math@osu.edu
America/New_York
public
Title: Global rigidity of the periodic Lyapunov spectrum for geodesic flows of negatively curved locally symmetric spaces
Speaker: Clark Butler, Princeton
Abstract: We show that if a smooth Anosov flow f^{t} is orbit equivalent to the geodesic flow g^{t} of a negatively curved locally symmetric space X of dimension at least three and the Lyapunov spectra of the flow f^{t} at all periodic points are multiples of the corresponding Lyapunov spectra of g^{t} then f^{t} is smoothly orbit equivalent to g^{t}. If f^{t} is itself the geodesic flow of a negatively curved space Y then we further conclude that Y is homothetic to X. We deduce the Mostow rigidity theorem as a corollary.