In this seminar, Professor Siqi He started with mean curvatures and minimal submanifolds in differential geometry. Then he introduced the notion of calibrated geometry of Harvey-Lawson. As important examples of calibrated submanifolds, special Lagrangian submanifolds in Calabi-Yau manifolds are introduced. Then he explained a branch cover problem raised by Simon Donaldson and sketched a proof of it.

Reported by Yalong Cao

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