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SUMMARY:Dylan Allegretti (Yau Mathematical Sciences Center at Tsinghua Uni
 versity)
DTSTART:20221017T050000Z
DTEND:20221017T063000Z
DTSTAMP:20260423T022918Z
UID:gapkias/1
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/gapkias/1/">
 Teichmüller spaces\, quadratic differentials\, and cluster coordinates</a
 >\nby Dylan Allegretti (Yau Mathematical Sciences Center at Tsinghua Unive
 rsity) as part of Geometry\, Algebra and Physics at KIAS\n\n\nAbstract\nIn
  the late 1980s\, Nigel Hitchin and Michael Wolf independently discovered 
 a parametrization of the Teichmüller space of a compact surface by holomo
 rphic quadratic differentials. In this talk\, I will describe a generaliza
 tion of their result. I will explain how\, by replacing holomorphic differ
 entials by meromorphic differentials\, one is naturally led to consider an
  object called the enhanced Teichmüller space. The latter is an extension
  of the classical Teichmüller space which is important in mathematical ph
 ysics and the theory of cluster algebras.\n
LOCATION:https://researchseminars.org/talk/gapkias/1/
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