Orbifold Jacobian algebras and generalized Kodaira-Spencer maps

Abstract: Given an algebraic function, its Jacobian algebra encodes the information of the singularity. There is also a notion of orbifold Jacobian algebras for functions which admit finite (abelian) group actions. We give a construction of an orbifold Jacobian algebra as Floer cohomology of a Lagrangian submanifold which represents homological mirror functor. We also discuss generalized Kodaira-Spencer maps whose image is not necessarily an ordinary Jacobian algebra. This talk is based on the joint work with C.-H. Cho.

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