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SUMMARY:`Slow chaos' in surface flows - Corinna Ulcigrai\, Zürich
DTSTART:20191118T160000Z
DTEND:20191118T170000Z
UID:TALK212521@talks.cam.ac.uk
CONTACT:HoD Secretary\, DPMMS
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. In the talk we will motiv
 ate and survey some of the recent breakthroughs on their mixing and spectr
 al properties and the mechanisms\, such as shearing\, on which they are ba
 sed\, which exploit analytic\, arithmetic and geometric techniques.
LOCATION:CMS MR3
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