Intrinsic Mirror Symmetry

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.