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SUMMARY:Shunsuke Kano (Research Alliance Center for Mathematical Sciences\
 , Tohoku University)
DTSTART:20230112T050000Z
DTEND:20230112T063000Z
DTSTAMP:20260423T022144Z
UID:gapkias/4
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/gapkias/4/">
 Unbounded sl(3)-laminations and their shear coordinates</a>\nby Shunsuke K
 ano (Research Alliance Center for Mathematical Sciences\, Tohoku Universit
 y) as part of Geometry\, Algebra and Physics at KIAS\n\n\nAbstract\nFock--
 Goncharov pointed out the space of unbounded laminations on a marked surfa
 ce gives the set of tropical valued points of the moduli space of the fram
 ed PGL_2 local systems on the surface. The key point of this identificatio
 n is that the shear coordinate of the space of unbounded laminations gives
  the tropicalized cluster structure of the moduli space.\nIn this talk\, w
 e introduce the space of unbounded sl(3) laminations (with pinnings) and d
 efine the "shear coordinate" on it as a generalization of the sl(2) case.\
 nIf time permits\, we discuss the graphical basis of the Ishibashi--Yuasa 
 sl(3) skein algebra.\nThis talk is based on a joint work with Tsukasa Ishi
 bashi.\n
LOCATION:https://researchseminars.org/talk/gapkias/4/
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