Explore the intersection of classical mirror symmetry and modern categorical techniques in this 59-minute lecture by R. Paul Horja from the University of Miami. Delve into the reinterpretation of mirror symmetry results using perverse sheaves of categories and schobers. Examine a proposal for the B-side category in toric homological mirror symmetry, focusing on the strata of the characteristic cycle of associated D-modules. Gain insights into advanced mathematical concepts that bridge traditional and contemporary approaches in algebraic geometry and symplectic topology.