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SUMMARY:Navnath Daundkar (Chennai Mathematical Institute)
DTSTART:20200826T053000Z
DTEND:20200826T063000Z
DTSTAMP:20260423T021409Z
UID:CATGT/7
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/CATGT/7/">As
 phericity of chain spaces</a>\nby Navnath Daundkar (Chennai Mathematical I
 nstitute) as part of Applications of Combinatorics in Algebra\, Topology a
 nd Graph Theory\n\n\nAbstract\nThe moduli space of chains (i.e. piece-wise
  linear paths) in the plane with generic side lengths is a smooth\, closed
  manifold.  It turns out that this manifold has a natural action of discre
 te torus such that the quotient under this action is a simple polytope\, m
 aking it into a small cover (in fact a real toric variety). In this talk I
  will show that in every dimension there are three length vectors for whic
 h the moduli space is aspherical. If time permits I will also show that th
 e quotient polytope depends only on the combinatorial data\, called the ge
 netic code of the length vector. This is ongoing work with my adviser Priy
 avrat Deshpande.\n
LOCATION:https://researchseminars.org/talk/CATGT/7/
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