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SUMMARY:Rigidity for time-changes of unipotent flows
DTSTART:20231017T133000Z
DTEND:20231017T153000Z
DTSTAMP:20240301T010900Z
UID:indico-event-222@events.dm.unipi.it
DESCRIPTION:Speakers: Mauro Artigiani (Universidad del Rosario)\n\nParabol
ic flows form an intermediate category between elliptic and hyperbolic flo
ws. They exhibit some characteristics associated with non-chaotic systems
\, and some associated with highly chaotic ones. A fundamental example is
the horocycle flow on hyperbolic surfaces and\, more generally\, homogene
ous flows generated by multiplication by a unipotent element on a Lie grou
p. It is much more difficult to produce examples of non-homogeneous parab
olic flows\, since perturbations usually lead to hyperbolic flows.The simp
lest perturbation\, still in the parabolic realm\, is given by time-change
s. These have been investigated in detail in the case of the horocycle fl
ow and for nilflows. In this talk\, we will give a detailed introduction
to the classical theory of horocycles and their time-changes\, before pres
enting our result\, joint with Livio Flaminio and Davide Ravotti\, on rigi
dity of time-changes of unipotent flows on finite volume quotients of simp
le Lie groups\, which generalizes Ratner's classical work on the horocycle
flow.\n\nhttps://events.dm.unipi.it/event/222/
LOCATION:SNS - Centro De Giorgi
URL:https://events.dm.unipi.it/event/222/
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