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SUMMARY:Unwinding the Gelfand—Cetlin toric degeneration on the mirror - 
 Elana   Kalashnikov (University of Waterloo)
DTSTART:20220721T150000Z
DTEND:20220721T160000Z
UID:TALK175043@talks.cam.ac.uk
DESCRIPTION:Toric degenerations play an important role in mirror symmetry\
 , allowing constructions for toric varieties to be extended to other varie
 ties. For example\, the Gelfand&mdash\;Cetlin toric degeneration of the Gr
 assmannian gives a Laurent polynomial mirror to the Grassmannian. The Cala
 bi&mdash\;Yau hypersurface &nbsp\;in the Grassmannian is expected to mirro
 r a compactification of the fibers of the Laurent polynomial. These fibers
  can easily be compactified to a &nbsp\;hypersurface in a singular toric v
 ariety using toric mirror symmetry\, but how can the toric degeneration be
  unwound on mirror side? How can we leave the toric context? Using the com
 binatorics of the Gelfand&mdash\;Cetlin polytope\, I&rsquo\;ll propose an 
 answer to this question\, which surprisingly turns out to be a natural gen
 eralization to Grassmannians of the oldest mirror symmetry constructions: 
 the quintic mirror. This is joint work with Tom Coates and Charles Doran.
LOCATION:Seminar Room 1\, Newton Institute
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