BEGIN:VCALENDAR
VERSION:2.0
PRODID:-//Talks.cam//talks.cam.ac.uk//
X-WR-CALNAME:Talks.cam
BEGIN:VEVENT
SUMMARY:Do moduli spaces of surfaces exist? and the mapping class group. -
  Selim Ghazouani (UCL)
DTSTART:20230203T134500Z
DTEND:20230203T144500Z
UID:TALK194419@talks.cam.ac.uk
CONTACT:76015
DESCRIPTION:The moduli space of complex curves of genus g is known to be t
 he quotient of the Teichmüller space of complex curves by the action of t
 he group of isotopy classes of diffeomorphisms of a surface of genus g (th
 e mapping class group).\n\n\nThe fact that this action be as nice as to ma
 ke of the quotient (the moduli space of curves) a well-behaved topological
  space (an orbifold) has always struck me as a kind of a miracle. \n\n\nI
 nstead of looking at parameter spaces of complex structures on surfaces\, 
 one can look at all sorts of different geometric structures (projective\,
  hyperbolic\, affine\, lorentzian\, representations of surface groups\, 
 you-name-it). \n\n\nI will discuss the question of the well-behavedness o
 f the action of the mapping class group in those cases\, and try to highli
 ght the role played by dynamical systems that one can attach to geometric 
 structures on surfaces.\n\n
LOCATION:MR13
END:VEVENT
END:VCALENDAR