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学术报告

All genus open-closed mirror symmetry for toric Calabi-Yau 3-folds/ 3-orbifolds-宗正宇教授(清华大学)

题  目:All genus open-closed mirror symmetry for toric Calabi-Yau 3-folds/ 3-orbifolds

报告人:宗正宇教授(清华大学)

Abstract: In this talk, I will discuss the connection between the all genus open-closed Gromov-Witten invariants of a toric Calabi-Yau 3-fold/3-orbifold and the topological recursion on its mirror curve. This can be viewed as an all genus open-closed mirror symmetry for toric Calabi-Yau 3-folds/3-orbifolds. When the Lagrangian is chosen to be an Aganagic-Vafa brane, this mirror symmetry is the well known Remodeling Conjecture which is conjectured by Bouchard-Klemm-Mari/~{n}o-Pasquetti in 2007. This conjecture is finally proved by Bohan Fang, Chiu-Chu Melissa Liu and myself in 2016. On the other hand, when restrict ourself to the case of the resolved conifold (which is a toric Calabi-Yau 3-fold), we can consider more general Lagrangians in the target space which come from torus knots under the conifold transition (The usual Aganagic-Vafa brane corresponds to the trivial knot). In this case, we can still build all genus mirror symmetry for open-closed Gromov-Witten invariants with respect to these more interesting Lagrangians. This is a joint work with Bohan Fang.

时  间: 6月26日(周一)上午10:00-11:00

地 点:首都师范大学本部教二楼813教室

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