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SUMMARY:Ollie Clarke (Ghent and Bristol)
DTSTART:20210812T090000Z
DTEND:20210812T100000Z
DTSTAMP:20260423T005757Z
UID:notts_ag/66
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/notts_ag/66/
 ">Combinatorial mutations and block diagonal polytopes</a>\nby Ollie Clark
 e (Ghent and Bristol) as part of Online Nottingham algebraic geometry semi
 nar\n\n\nAbstract\nMatching fields were introduced by Sturmfels and Zelevi
 nsky to study certain Newton polytopes and more recently have been shown t
 o give rise to toric degenerations of various families of varieties. Whene
 ver a matching field gives rise to a toric degeneration of the Grassmannia
 n\, the polytope of the associated toric variety coincides with the matchi
 ng field polytope. In this talk I will describe combinatorial mutations of
  matching field polytopes. We will explore properties of polytopes which a
 re preserved by mutation\, and we will see that property of giving rise to
  a toric degeneration is preserved by mutations. This gives us an easy way
  to generate new families of toric degenerations of the Grassmannian from 
 old. This talk is based on joint work with Akihiro Higashitani and Fatemeh
  Mohammadi.\n
LOCATION:https://researchseminars.org/talk/notts_ag/66/
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