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SUMMARY:Fatemeh Mohammadi (Ghent)
DTSTART:20211104T100000Z
DTEND:20211104T110000Z
DTSTAMP:20260423T041410Z
UID:notts_ag/86
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/notts_ag/86/
 ">CANCELLED - Matroid stratifications of hypergraph determinantal varietie
 s and their realization spaces</a>\nby Fatemeh Mohammadi (Ghent) as part o
 f Online Nottingham algebraic geometry seminar\n\n\nAbstract\nI will provi
 de an introductory talk to hypergraph determinantal varieties from project
 ive geometry and matroid theory perspectives. I describe their decompositi
 ons into matroid varieties. Matroids varieties in general can be reducible
  with arbitrary singularities by the Mnëv-Sturmfels universality theorem.
  Our goal is to provide families of matroids whose corresponding varieties
  are irreducible\, and use them to find minimal irreducible decompositions
  for hypergraph varieties. The main themes of the talk are:\n1) giving a d
 ecomposition for each hypergraph variety\;\n2) identifying each component 
 in the decomposition as a matroid variety\; and\n3) understanding the irre
 ducibility of these matroid varieties and their realizability.\nI will not
  assume any prior knowledge of algebraic\, polyhedral\, or incidence geome
 try\, and I will try to make the talk accessible to people with a broad ra
 nge of backgrounds. The talk is based on joint work with Oliver Clarke\, K
 evin Grace\, and Harshit Motwani.\n
LOCATION:https://researchseminars.org/talk/notts_ag/86/
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