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SUMMARY:Relative shapes of thick subsets of moduli space
DTSTART:20131121T130000
DTEND:20131121T140000
DTSTAMP:20260428T152747Z
UID:84fcf3cb0e7a0102551e528a8133bfc648be751366ac2af060af2c18
CATEGORIES:Conferences - Seminars
DESCRIPTION:Hugo Parlier (Fribourg)\nThis talk will be about the moduli sp
 ace M_g of closed hyperbolic surfaces of given genus g. This space can be 
 thought of as a deformation space and different measures of deformations c
 an be used to endow M_g with different geometries. Although there exists a
  rich theory describing the geometry of moduli space\, surprisingly little
  is understood about qualities that might be described as aspects of its 
 “shape” when equipped with one of its natural metrics. An intriguing s
 ubspace of M_g is given by the subset consisting of surfaces whose systole
 s fill the surface (a systole is a shortest closed geodesic). In this talk
  I'll describe a first attempt at trying to understand the shape of surfac
 es whose systoles fill by comparing it to other natural subsets of M_g (wh
 ere M_g is endowed with either the so-called Thurston or Teichmüller metr
 ics). This is joint work with J. Anderson and A. Pettet.
LOCATION:MA 31 http://plan.epfl.ch/?room=ma31
STATUS:CONFIRMED
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