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SUMMARY:Catherine Cannizzo (Stony Brook)
DTSTART:20220310T195000Z
DTEND:20220310T205000Z
DTSTAMP:20260423T022933Z
UID:GPRTatNU/45
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/GPRTatNU/45/
 ">Global homological mirror symmetry for genus 2 curves</a>\nby Catherine 
 Cannizzo (Stony Brook) as part of Geometry\, Physics\, and Representation 
 Theory Seminar\n\n\nAbstract\nA smooth genus 2 curve has a 6 dimensional f
 amily of possible complex structures\, parametrized by the genus-2 Siegel 
 space. We describe a generalized SYZ mirror family of symplectic manifolds
 \, and the mirror correspondence of Kähler cones with the Siegel space. W
 e also describe the Fukaya category of the symplectic manifold (a Landau-G
 inzburg model)\, with structure maps deformed by the B-field. This involve
 s adapting Guillemin’s Kähler potential to a toric variety of infinite 
 type and computing monodromy of a symplectic fibration with critical locus
  given by the “banana manifold” of three P^1’s attached at two point
 s. Finally\, we end with a homological mirror symmetry result between the 
 genus 2 curves and their mirrors. This is joint work with H. Azam\, C-C. M
 . Liu\, and H. Lee.\n
LOCATION:https://researchseminars.org/talk/GPRTatNU/45/
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