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SUMMARY:Nathan Ilten (Simon Fraser)
DTSTART:20200813T150000Z
DTEND:20200813T160000Z
DTSTAMP:20260423T041410Z
UID:notts_ag/20
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/notts_ag/20/
 ">Type D associahedra are unobstructed</a>\nby Nathan Ilten (Simon Fraser)
  as part of Online Nottingham algebraic geometry seminar\n\n\nAbstract\nGe
 neralized associahedra associated to any root system were introduced by Fo
 min and Zelevinsky in their study of cluster algebras. For type $\\mathsf{
 A}$ root systems\, one recovers the classical associahedron parametrizing 
 triangulations of a regular $n$-gon. For type $\\mathsf{D}$ root systems\,
  one obtains a polytope parametrizing centrally symmetric triangulations o
 f a $2n$-gon. In previous work\, Jan Christophersen and I showed that the 
 Stanley-Reisner ring of the simplicial complex dual to the boundary of the
  classical associahedron is unobstructed\, that is\, has vanishing second 
 cotangent cohomology. This could be used to find toric degenerations of th
 e Grassmannian $\\mathrm{Gr}(2\,n)$. In this talk\, I will describe work-i
 n-progress that generalizes this unobstructedness result to the type $\\ma
 thsf{D}$ associahedron.\n
LOCATION:https://researchseminars.org/talk/notts_ag/20/
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