The Dual Lagrangian Fibrations of Compact Hyper-Kähler Manifolds

Explore the intricacies of compact hyper-Kähler manifolds and their dual Lagrangian fibrations in this 47-minute conference talk by Yoon-Joo Kim from the University of Bonn. Delve into the higher-dimensional generalizations of K3 surfaces and holomorphic symplectic manifolds. Examine the proposed explicit construction of dual fibrations for known hyper-Kähler manifolds, drawing parallels to the duality of Hitchin systems. Investigate the topological mirror symmetry between certain cases, including the coincidence of orbifold Hodge numbers. Gain insights into the joint work with Mirko Mauri and Justin Sawon on topological mirror symmetry aspects of this research.