[Todos CMAT] RECORDATORIO: Seminario Dinámica
lpineyrua
lpineyrua en fing.edu.uy
Jue Feb 29 10:00:14 -03 2024
Hola,
Les recordamos que mañana vuelve el Seminario de Dinámica! En esta
oportunidad tendremos sesión doble: T. Barbot + S. Fenley. Por esta
razón las charlas serán EXCEPCIONALMENTE en el Salón 703 (Rojo) de FING.
14:00 T. Barbot.
15:30 S. Fenley.
Abajo encontrarán título y resumen correspondiente a cada charla.
Aprovechamos la oportunidad para pedirle a quienes quieran exponer
este semestre o tengan prevista alguna visita, favor de comunicarse
con los organizadores (santiago.martinchich en fcea.edu.uy y
lpineyrua en fing.edu.uy).
*Thierry Barbot (Université d'Avignon)*
Título: Finite coverings of geodesic flows.
Resumen: In 1981, E. Ghys proved that any Anosov flow on a circle
bundle M over a surface S is a finite covering along the fibers of the
geodesic flow of S. In this talk I will prove that on M there is one
or two equivalence orbital classes of Anosov flows. This is a joint
work with S.R. Fenley.
*Sergio Fenley (Florida State University)*
Título: Existence of quasigeodesic Anosov flows in hyperbolic 3-manifolds.
Resumen: A quasigeodesic in a manifold is a curve so that when lifted
to the universal cover is uniformly efficient up to a bounded
multiplicative and added error in measuring length. A flow is
quasigeodesic if all flow lines are quasigeodesics. We prove that an
Anosov flow in a closed hyperbolic manifold is quasigeodesic if and
only if it is not R-covered. Here R-covered means that the stable
2-dim foliation of the flow, lifts to a foliation in the universal
cover whose leaf space is homeomorphic to the real numbers. There are
many examples of quasigeodesic Anosov flows in closed hyperbolic
3-manifolds. There are consequences for the continuous extension
property of Anosov foliations, and the existence of group invariant
Peano curves associated with Anosov flows.
Próxima semana: Pablo Guarino (Universidade Federal Fluminense)
Saludos!
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