Homological Mirror Symmetry - Functorial Mirror Symmetry for Very Affine Hypersurfaces

Explore a 52-minute lecture on functorial mirror symmetry for very affine hypersurfaces, delivered by Maxim Jeffs from Harvard University at the University of Miami. Delve into Auroux's conjectures regarding homological mirror symmetry and its compatibility with natural symplectic operations in wrapped Fukaya categories. Discover the intriguing findings of Jeffs and Benjamin Gammage's joint work, revealing that the complement of a very affine hypersurface possesses two natural mirrors, one being a derived scheme. Gain insights into their proof of Auroux's modified conjectures, incorporating the newly discovered derived structure, and learn about the application of sectorial techniques for gluing Fukaya categories in this advanced mathematical exploration.