[Todos CMAT] Seminario Sistemas Dinámicos
mcarrasco
mcarrasco en fing.edu.uy
Mie Mayo 24 15:12:32 UYT 2017
Estimados,
este viernes a las 14:30 en el salón de seminarios del IMERL tenemos
el placer de recibir a Jonas Deré (Universidad de Leuven).
Abajo título y resumen.
Saludos
Title: Which manifolds admit expanding maps?
Abstract: In 1981, M. Gromov completed the proof that every manifold
admitting an expanding map is, up to finite cover, homeomorphic to a
nilmanifold. Since then it was an open question to give an algebraic
characterization of the nilmanifolds admitting an expanding map.
During my talk, I will start by introducing the basic notions of
expanding maps and nilmanifolds. Then I explain how the existence of
such an expanding map only depends on the covering Lie group and on
the existence of certain gradings on the corresponding Lie algebra.
One of the applications is the construction of a nilmanifold admitting
an Anosov diffeomorphism but no expanding map, which is the first
example of this type.
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