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SUMMARY:Elana Kalashnikov (Harvard)
DTSTART:20200724T150000Z
DTEND:20200724T160000Z
DTSTAMP:20260423T005800Z
UID:notts_ag/17
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/notts_ag/17/
 ">Constructing Laurent polynomial mirrors for quiver flag zero loci</a>\nb
 y Elana Kalashnikov (Harvard) as part of Online Nottingham algebraic geome
 try seminar\n\n\nAbstract\nAll smooth Fano varieties of dimension at most 
 three can be constructed as either toric complete intersections (subvariet
 ies of toric varieties) or quiver flag zero loci (subvarieties of quiver 
 flag varieties). Conjecturally\, Fano varieties are expected to mirror ce
 rtain Laurent polynomials. The construction of mirrors of Fano toric compl
 ete intersections is well-understood. In this talk\, I'll discuss evidence
  for this conjecture by proposing a method of constructing mirrors for Fan
 o quiver flag zero loci. A key step of the construction is via finding to
 ric degenerations of the ambient quiver flag varieties. These degeneratio
 ns generalise the Gelfand-Cetlin degeneration of flag varieties\, which in
  the Grassmannian case has an important role in the cluster structure of i
 ts coordinate ring.\n
LOCATION:https://researchseminars.org/talk/notts_ag/17/
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