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SUMMARY:`Slow chaos' in surface flows - Corinna Ulcigrai\, Zürich
DTSTART:20191118T160000Z
DTEND:20191118T170000Z
UID:TALK122077@talks.cam.ac.uk
CONTACT:Ivan Smith
DESCRIPTION:Flows on surfaces describe many systems of physical origin and
  are one of the most fundamental examples of dynamical systems\, studied s
 ince Poincaré. In the last decade\, there have been a lot of advances in 
 our understanding of the chaotic properties of smooth area-preserving flow
 s (a class which include locally Hamiltonian flows)\, thanks to the connec
 tion to Teichmueller dynamics and\, very recenlty\, to the influence of th
 e work of Marina Ratner in homogeneous dynamics.\nIn the talk we will moti
 vate and survey some of the recent breakthroughs on their mixing and spect
 ral properties and the mechanisms\, such as shearing\, on which they are b
 ased\, which exploit analytic\, arithmetic and geometric techniques.
LOCATION:MR3
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