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SUMMARY:Special seminar: SYZ fibrations and tropical geometry - Jeff Hicks
  (Edinburgh)
DTSTART:20241029T160000Z
DTEND:20241029T170000Z
UID:TALK222487@talks.cam.ac.uk
CONTACT:Ailsa Keating
DESCRIPTION:The Strominger-Yau-Zaslow conjecture proposes that "mirror pai
 rs" (pairs of spaces whose symplectic and complex invariants are interchan
 ged) can be constructed by considering dual Lagrangian torus fibrations. I
 n this introductory talk\, we will demonstrate how to build dual Lagrangia
 n torus fibrations from the data of an affine manifold. I'll also discuss 
 how to lift affine subspaces to complex and Lagrangian submanifolds and pe
 rform some sample computations that motivate Kontsevich's homological mirr
 or symmetry conjecture. Finally\, I'll state some theorems illustrating ho
 w symplectic geometry can be applied to algebraic geometry.\n
LOCATION:MR13
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