Center & Programs
Conference and Winter School on: Tropical Geometry, Berkovich spaces and mirror symmetry
"Non-commutative homological mirror functor"
SPEAKER | Cheol Hyun Cho
INSTITUTE | (Seoul National University)
DATE | February 23(Tue), 2016
TIME | 15:00
PLACE | Rm 1503(Bldg#I,5th), Korea Institute for Advanced Study, South Korea
ABSTRACT | We explain an elementary geometric construction ( of Lagrangian Floer theory)
to construct various non-commutative mirrors of symplectic torus or punctured Riemann
surfaces. Such a mirror is given by non-commutative Landau-Ginzburg model, which
is a non-commutative algebra together with a choice of a central element. This construction
naturally provides a canonical functor from Fukaya category to the matrix factorization
category of non-commutative Landau-Ginzburg model.