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Universität Augsburg
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Universität Augsburg
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Professor Dr. Cheolhyun Cho
Seoul National University
spricht am
Donnerstag, 30. Juli 2015
um
10:00 Uhr
im
Raum 2004 (L1)
über das Thema:
| Abstract: |
| We explain a construction of a homological mirror symmetry functor using a formal deformation theory of a Lagrangian L in a symplectic manifold. Main feature of this formalism is that once it is set up, it provides canonical (and geometric) way to transform Lagrangians in a symplectic manifold to Matrix factorizations of a mirror potential function W(L). We illustrate this in an elliptic curve quotient example, where counting polygons cut out by a curve L' provides the corresponding matrix factorizations of the mirror polynomial. If time permits, we will explain a non-commutative generalization of the functor to non-commutative Landau-Ginzburg models. This is based on joint works with Hansol Hong and Siu-Cheong Lau. |
| Hierzu ergeht herzliche Einladung. |
| Prof. Dr. Urs Frauenfelder |