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SUMMARY:Open mirror symmetry for Landau-Ginzburg models - Tyler Kelly (Uni
 versity of Birmingham)
DTSTART:20220719T090000Z
DTEND:20220719T100000Z
UID:TALK174998@talks.cam.ac.uk
DESCRIPTION:In mirror symmetry\, we aim to build a relationship between th
 e enumerative geometry of a symplectic manifold and period integrals on it
 s mirror manifold. This relationship has been extended in the past 15 year
 s to Landau-Ginzburg models. Roughly\, a Landau-Ginzburg (LG) model is a t
 riplet of data (X\, G\, W) where X is a quasi-affine variety\, G is a grou
 p acting on X and W is a G-invariant complex-valued algebraic function fro
 m X to the complex numbers. Mirror symmetry relates the enumerative geomet
 ry of an LG model (so-called Fan-Jarvis-Ruan-Witten theory) to a system of
  oscillatory integrals on the mirror that serve as period integrals (so-ca
 lled Saito-Givental theory). Recently\, there has been progress in constru
 cting open invariants on both sides of the mirror symmetry correspondence 
 in these cases. We how this works for Fermat polynomials based on work wit
 h Mark Gross and Ran Tessler\, with an emphasis on the period-style comput
 ations as they are more in line with the theme of the workshop.
LOCATION:Seminar Room 1\, Newton Institute
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