Fukaya categories of quasihomogeneous polynomials

Abstract: Berglund-Hübsch mirror symmetry predicts that for certain 'transpose' pairs of quasihomogeneous polynomials, the Fukaya-Seidel category of one is equivalent to a category of matrix factorisations of the other. The difficulty in proving this is that the natural types of objects to consider on the two sides do not match up with each other. I will introduce an enlarged version of the Fukaya-Seidel category that contains the missing objects, and outline how this allows one to prove B-H mirror symmetry. This is joint work in progress with Benjamin Gammage.

mathematical physicsalgebraic geometrysymplectic geometry

Audience: researchers in the topic

IBS-CGP weekly zoom seminar

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