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Local mirror curves and holomorphic disc invariants
Geometry/Topology| Speaker: | Jian Zhou, Tsinghua University |
| Location: | 2112 MSB |
| Start time: | Mon, Jan 31 2011, 4:10PM |
According to a conjectue of Hori-Iqbal-Vafa, the mirror geometry of a toric Calabi-Yau 3-fold is encoded in a local mirror curve determined by the toric data. A conjecture of Aganagic-Vafa claims that the locla mirror curve can also be determined from the holomorphic disc invariants of toric 3-fold. Finally a conjecture by Lerche-Mayr states the holomorphic disc invariants can be determined by a generalized Picard-Fuchs system. In this talk we will explain these conjectures and the verifications of some important special cases.