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SUMMARY:Francois Labourie (Universite Cote d’Azur)
DTSTART;VALUE=DATE-TIME:20210511T150500Z
DTEND;VALUE=DATE-TIME:20210511T153500Z
DTSTAMP;VALUE=DATE-TIME:20220528T191911Z
UID:GEARtown/1
DESCRIPTION:Title: Uniformization for Hitchin representations\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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SUMMARY:Brian Collier (UC Riverside)
DTSTART;VALUE=DATE-TIME:20210511T154000Z
DTEND;VALUE=DATE-TIME:20210511T161000Z
DTSTAMP;VALUE=DATE-TIME:20220528T191911Z
UID:GEARtown/2
DESCRIPTION:Title: The minimal surface is unique (in rank 2)\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/
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SUMMARY:Vlad Markovic (Oxford)
DTSTART;VALUE=DATE-TIME:20210511T163000Z
DTEND;VALUE=DATE-TIME:20210511T171500Z
DTSTAMP;VALUE=DATE-TIME:20220528T191911Z
UID:GEARtown/3
DESCRIPTION:Title: Non-uniqueness of minimal surfaces in products of closed Riemann surfaces
\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/
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BEGIN:VEVENT
SUMMARY:Steve Bradlow
DTSTART;VALUE=DATE-TIME:20210511T150000Z
DTEND;VALUE=DATE-TIME:20210511T150500Z
DTSTAMP;VALUE=DATE-TIME:20220528T191911Z
UID:GEARtown/4
DESCRIPTION:Title: Introduction\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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