Mirror symmetry for Berglund-Hübsch Milnor fibers

Abstract: After recalling some joint work with Jack Smith proving homological Berglund-Hübsch mirror symmetry, we explain the calculation of the Fukaya category of a Berglund-Hübsch Milnor fiber, proving a conjecture of Yankı Lekili and Kazushi Ueda. The strategy of proof involves deforming the Fukaya category of an open ("very affine") subset, by calculating a contribution from disks passing through an affine normal crossings divisor.

mathematical physicsalgebraic geometrysymplectic geometry

Audience: researchers in the topic

IBS-CGP weekly zoom seminar

Series comments: Registration is required at cgp.ibs.re.kr/activities/talkregistration