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SUMMARY:Pierrick Bouseau (CNRS\, Universite Paris Saclay)
DTSTART:20201202T210000Z
DTEND:20201202T220000Z
DTSTAMP:20260414T174843Z
UID:BUGeom/12
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/BUGeom/12/">
 Positivity for the skein algebra of the 4-puncture sphere</a>\nby Pierrick
  Bouseau (CNRS\, Universite Paris Saclay) as part of Boston University Geo
 metry/Physics Seminar\n\n\nAbstract\nThe skein algebra of a topological su
 rface is constructed from knots and links in the 3-manifold obtained by ta
 king the product of the surface with an interval. A conjecture of Dylan Th
 urston predicts the positivity of the structure constants of a certain lin
 ear basis of the skein algebra. I will explain a recent proof of this conj
 ecture for the skein algebra of the 4-punctured sphere. In a slightly surp
 rising way\, this proof of a topological result relies on complex algebrai
 c geometry\, and in particular the study of algebraic curves in complex cu
 bic surfaces.\n
LOCATION:https://researchseminars.org/talk/BUGeom/12/
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