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SUMMARY:Cluster dualities and superpotentials for Grassmannian - Man Wai C
 heung (Institute for the Physics and Mathematics of the Universe (IPMU))
DTSTART:20220719T101500Z
DTEND:20220719T111500Z
UID:TALK175004@talks.cam.ac.uk
DESCRIPTION:Marsh-Rietsch described a Landau-Ginzburg model for Grassmanni
 ans consisting of the complement of a particular anti-canonical divisor in
  a Langlands dual Grassmannian together with a superpotential expressed in
  terms of Pl&uuml\;cker coordinates. On the other hand\, Grassmannians car
 ry cluster structure which we can write down a superpotential from the wor
 k of Gross-Hacking-Keel-Kontsevich. A natural question is &mdash\; are the
  two potentials the same or not? Together with Bossinger\, Magee\, and Naj
 era-Chavez\, we identified the cluster structures of the two sides of the 
 mirror Grassmannians and identified the Marsh-Rietsch and the Gross-Hackin
 g-Keel-Kontsevich potentials. As a consequence\, we identified the two mir
 ror constructions. 
LOCATION:Seminar Room 1\, Newton Institute
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