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SUMMARY:Francois Labourie (Universite Cote d’Azur)
DTSTART:20210511T150500Z
DTEND:20210511T153500Z
DTSTAMP:20260416T140309Z
UID:GEARtown/1
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/GEARtown/1/"
 >Uniformization for Hitchin representations</a>\nby Francois Labourie (Uni
 versite Cote d’Azur) as part of GEARtown Events: The Labourie Conjecture
 \n\n\nAbstract\nAfter recalling the definition of Hitchin representations\
 , and why the space of Hitchin representations carries many similarities w
 ith Teichmüller space\, I will explain briefly Hitchin parametrisations a
 nd how minimal surfaces enterthe picture naturally\, as well as some prope
 rties of the natural map from thespace of equivariant minimal surfaces int
 o the Hitchin component.\n\nI will then explain the main itching question 
 that the conjecture was supposed to solve: find a complex interpretation\,
  invariant under the mapping class group\,of the Hitchin component\, as we
 ll as describing the topology of the Hitchin moduli space.If time permits\
 , I will explain a construction by Sambarino and myself\, of a mapping cla
 ssgroup invariant map from Hitchin component to Teichmüller space and how
  thisrelates to holomorphic differentials.\n\nGo to http://gear.math.illin
 ois.edu/GEARtownEvents.html for more information\n
LOCATION:https://researchseminars.org/talk/GEARtown/1/
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