Homological Mirror Symmetry - Twisted Shklyarov Pairing & Applications

Explore the intricacies of Homological Mirror Symmetry in this one-hour lecture by Shaoyun Bai from SCGP & Columbia. Delve into the concept of the twisted Shklyarov pairing, an open string analogue of the Poincaré pairing on fixed point Floer cohomology. Examine its role in Hochschild homology of homologically smooth and proper A-infinity categories. Discover applications to Lefschetz fibrations, mirror symmetry, and classical problems. Gain insights into ongoing joint research with Paul Seidel, expanding your understanding of advanced mathematical concepts in algebraic geometry and topology.