Mirror symmetry through perverse schobers

Abstract: We explain how the language of perverse schobers gives a natural tool for describing a generalization of the Seidel-Sheridan strategy for computing Fukaya categories to the non-Lefschetz situation. We apply this technique to calculate the Fukaya category of the Milnor fiber of a Berglund-Hübsch singularity, building on some earlier computations of David Nadler. This calculation proves a conjecture of Lekili-Ueda.

algebraic geometrycombinatoricsdifferential geometrygeometric topologyquantum algebrarepresentation theorysymplectic geometry

Audience: researchers in the topic

Legendrians, Cluster algebras, and Mirror symmetry

Series comments: Schedule
School: January 4–8, 2021
Conference: January 11–15, 2021