Toward Homological Mirror Symmetry for Intrinsic Mirror Pairs

Explore a cutting-edge lecture on homological mirror symmetry delivered by Bernd Siebert from the University of Texas at Austin. Delve into ongoing research conducted in collaboration with Tim Perutz, focusing on proving a version of homological mirror symmetry for intrinsic mirror pairs. Examine the construction of these pairs using a logarithmic version of the quantum cohomology ring, as developed with Mark Gross. Investigate the comparison between this algebraic-geometrically defined ring and a version of degree zero symplectic cohomology, utilizing John Pardon's virtual fundamental cycle (VFC) machinery. Gain insights into advanced topics in algebraic geometry and symplectic topology during this hour-long presentation from the University of Miami.