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BEGIN:VEVENT
SUMMARY:Francois Labourie (Universite Cote d’Azur)
DTSTART:20210511T150500Z
DTEND:20210511T153500Z
DTSTAMP:20260416T101628Z
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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BEGIN:VEVENT
SUMMARY:Brian Collier (UC Riverside)
DTSTART:20210511T154000Z
DTEND:20210511T161000Z
DTSTAMP:20260416T101628Z
UID:GEARtown/2
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/GEARtown/2/"
 >The minimal surface is unique (in rank 2)</a>\nby Brian Collier (UC River
 side) as part of GEARtown Events: The Labourie Conjecture\n\n\nAbstract\nW
 e will discuss all known cases where (an appropriate generalization) of th
 e statement of Labourie's conjecture is true. In each known case\, the ran
 k of the symmetric space is 2 and the proof of uniqueness relies on a "ran
 k 1" phenomenon of a related space.\n\nGo to http://gear.math.illinois.edu
 /GEARtownEvents.html for more information\n
LOCATION:https://researchseminars.org/talk/GEARtown/2/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Vlad Markovic (Oxford)
DTSTART:20210511T163000Z
DTEND:20210511T171500Z
DTSTAMP:20260416T101628Z
UID:GEARtown/3
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/GEARtown/3/"
 >Non-uniqueness of minimal surfaces in products of closed Riemann surfaces
 </a>\nby Vlad Markovic (Oxford) as part of GEARtown Events: The Labourie C
 onjecture\n\n\nAbstract\nWe show that there exists a Fuchsian representati
 on into the product of three copies of PSL(2\,R) which yields multiple min
 imal surfaces in the corresponding product of closed Riemann surfaces.\n\n
 Go to http://gear.math.illinois.edu/GEARtownEvents.html for more informati
 on\n
LOCATION:https://researchseminars.org/talk/GEARtown/3/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Steve Bradlow
DTSTART:20210511T150000Z
DTEND:20210511T150500Z
DTSTAMP:20260416T101628Z
UID:GEARtown/4
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/GEARtown/4/"
 >Introduction</a>\nby Steve Bradlow as part of GEARtown Events: The Labour
 ie Conjecture\n\nAbstract: TBA\n
LOCATION:https://researchseminars.org/talk/GEARtown/4/
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