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Center & Programs Conferences Conference and Winter School on: Tropical Geometry, Berkovich spaces and mirror symmetry
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"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
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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.
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