Talks

Special Lagrangians, Donaldson-Scaduto Conjecture and Mirror Symmetry

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Yu-Shen Lin (Boston University)
2024-07-20  10:30 - 11:30
Room 202, Astronomy and Mathematics Building

Donald-Scaduto conjecture predicts that in Calabi-Yau 3-folds with K3-fibrations, the special Lagrangians will converge to graphs when the K3-fibres collapse. I will explain transitions of special Lagrangians when crossing singularities in a generic 1-parameter family of Calabi-Yau 3-folds proposed by Donaldson-Scaduto and Joyce. Then I will explain some partial results towards this conjecture. I will also discuss the mirror symmetry aspects of the collapsing limits. This is a joint work with Shih-Kai Chiu.