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SUMMARY:Jeff Hicks (Cambridge University)
DTSTART:20201118T210000Z
DTEND:20201118T220000Z
DTSTAMP:20260414T175016Z
UID:BUGeom/11
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/BUGeom/11/">
 Lagrangian submanifolds in almost toric fibrations</a>\nby Jeff Hicks (Cam
 bridge University) as part of Boston University Geometry/Physics Seminar\n
 \n\nAbstract\nMirror symmetry predicts that Lagrangian submanifolds of a s
 ymplectic space X are mirror to coherent sheaves on a ``mirror space'' Y. 
 A proposed mechanism for mirror symmetry comes from almost Lagrangian toru
 s fibrations. In this framework\, X and Y are dual Lagrangian torus fibrat
 ions over a common affine base Q. Mirror symmetry arises by degenerating t
 he symplectic geometry of X and complex geometry of Y to tropical geometry
  on the base Q. We will look at the setting where X is the complement of t
 he elliptic curve in the projective plane\, and discuss how to construct L
 agrangian submanifolds of X from the data of tropical curves in the base o
 f the fibration.\n
LOCATION:https://researchseminars.org/talk/BUGeom/11/
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