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SUMMARY:Aaron Calderon (Yale University)
DTSTART:20210316T170000Z
DTEND:20210316T180000Z
DTSTAMP:20260423T004637Z
UID:OSUGGT/31
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/OSUGGT/31/">
 Measure laminations and unipotent flows on moduli space</a>\nby Aaron Cald
 eron (Yale University) as part of Ohio State Topology and Geometric Group 
 Theory Seminar\n\n\nAbstract\nThere is a deep yet mysterious connection be
 tween the hyperbolic and singular flat geometry of Riemann surfaces. Using
  Thurston and Bonahon’s “shear coordinates” for maximal laminations\
 , Mirzakhani related the earthquake and horocycle flows on moduli space\, 
 two notions of unipotent flow coming from hyperbolic\, respectively flat\,
  geometry. In this talk\, I will describe joint work with James Farre in w
 hich we construct new coordinates for Teichmüller space adapted to any me
 asured lamination which generalize both Fenchel–Nielsen and shear coordi
 nates. These coordinates simultaneously parametrize both flat and hyperbol
 ic structures\, and consequently allow us to extend Mirzakhani’s conjuga
 cy and gain insight into the ergodic theory of the earthquake flow. If tim
 e permits\, I will also mention some applications of this result to the eq
 uidistribution of random hyperbolic surfaces in moduli space.\n
LOCATION:https://researchseminars.org/talk/OSUGGT/31/
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