Posted in

Speaker:

Mark Gross
Affiliation:

Cambridge University
Date:

Tue, 30/03/2021 - 14:00 - 15:30 https://hu-berlin.zoom.us/j/61339297016

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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