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UID:301@i2m.univ-amu.fr
DTSTART;TZID=Europe/Paris:20140613T110000
DTEND;TZID=Europe/Paris:20140613T123000
DTSTAMP:20140529T090000Z
URL:https://www.i2m.univ-amu.fr/evenements/teichmuller-dynamics-and-hodge-
 theory/
SUMMARY: (...): Teichmuller dynamics and Hodge theory
DESCRIPTION:: The group SL(2\,R) acts naturally on the set of flat surfaces
  of higher genus\, generalizing the action on the space of flat tori. This
  action is naturally related to a number of classical dynamical systems\, 
 like interval exchanges and billiard flows. For example\, asymptotics on a
  fixed surface are related to the Lyapunov exponents of the Kontsevich-Zor
 ich (KZ) cocycle.In this talk\, I will discuss some results about the rigi
 dity of the SL(2\,R) dynamics and the KZ cocycle. By work of Eskin\, Mirza
 khani\, and Mohammadi\, orbit closures have a good local structure\, in pa
 rticular are manifolds. I will explain how to obtain further global restri
 ctions\, in particular proving that they are algebraic varieties.The talk 
 will start from the basics\, assuming no background in either Teichmuller 
 dynamics or Hodge theory.http://math.uchicago.edu/~sfilip/
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