A symplectic view of matrix factorizationsOberseminar Darstellungstheorie

by Kyungmin Rho (MPI Bonn)

Friday Nov 14, 2025, 2:15 PM → 3:15 PM Europe/Berlin

Endenicher Allee 60/1.008 - Seminarraum (Mathezentrum)

Homological mirror symmetry has revealed deep connections among representation theory, algebraic geometry, and symplectic geometry. In this talk, we explore one such application on matrix factorizations. We begin with the representation-theoretic and algebro-geometric aspects of matrix factorizations. Then we explain how they relate to Fukaya categories of symplectic manifolds, which is made explicit through the localized mirror functor. Throughout the talk, we illustrate these ideas with concrete examples. This is based on joint works with Cheol-Hyun Cho, Wonbo Jeong and Kyoungmo Kim.