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SUMMARY:Nathaniel Sagman (University of Luxembourg)
DTSTART:20240927T150000Z
DTEND:20240927T161500Z
DTSTAMP:20260423T022734Z
UID:CIRGET/122
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/CIRGET/122/"
 >Labourie's conjecture and Higgs bundles at high energy</a>\nby Nathaniel 
 Sagman (University of Luxembourg) as part of CRM - Séminaire du CIRGET / 
 Géométrie et Topologie\n\nLecture held in PK-5115.\n\nAbstract\nFor S a 
 closed surface of genus at least 2\, Hitchin representations from pi_1(S) 
 to PSL(n\,R) naturally generalize Fuchsian representations to PSL(2\,R). L
 abourie proved that every Hitchin representation comes with an invariant m
 inimal surface in the corresponding symmetric space. Motivated by the mapp
 ing class group action and potential Kahler metrics on the space of Hitchi
 n representations\, he conjectured that uniqueness holds as well. \n\nIn t
 his talk we'll explain how we used Higgs bundles to produce large area min
 imal surfaces that give counterexamples to Labourie's conjecture\, and we'
 ll overview related advances in the theory of Higgs bundles at high energy
 . This is all joint with Peter Smillie.\n
LOCATION:https://researchseminars.org/talk/CIRGET/122/
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