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Seminar of Algebraic Geometry in East Asia
 
10:15 - 11:15, April 16, 2021 (Friday)
broadcast in Room 515, Cosmology Bldg., Online seminar
(線上演講 於宇宙學大樓515教室收播)
Special Lagrangian Fibrations in Log Calabi-Yau Surfaces and Mirror Symmetry
Yu-Shen Lin (Boston University)

Abstract:

Strominger-Yau-Zaslow conjecture predicts that the Calabi-Yau manifolds admit special Lagrangian fibrations and the mirror can be constructed via the dual torus fibration. The conjecture has been the guiding principle for mirror symmetry while the original conjecture has little progress. In this talk, I will prove that the SYZ fibration exists in certain log Calabi-Yau surfaces and their mirrors indeed admit the dual torus fibration under suitable mirror maps. The result is an interplay between geometric analysis and complex algebraic geometry. The talk is based on joint works with T. Collins and A. Jacob.
 
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