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Intrinsic Mirror Symmetry

Posted in
Mark Gross
Cambridge University
Die, 2021-03-30 14:00 - 15:30


I will talk about the program developed jointly with Bernd Siebert to understand mirror symmetry. In particular, I will focus on the general construction of mirrors.
Associated to any log Calabi-Yau pair (X,D) with maximally degenerate boundary D or to any maximally unipotent degeneration of Calabi-Yau manifolds X->S,
we associate a mirror object as either the Spec or Proj of a ring. This ring, analogous to the degree 0 part of symplectic homology of X\D, is constructed using a flavor
of Gromov-Witten invariants called punctured invariants, developed jointly with Abramovich, Chen and Siebert.

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