Compactification of Lagrangian fibrations

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Giulia Saccà, Columbia University
Fine Hall 322

In-Person Talk 

Lagrangian fibered Hyper-K\"ahler manifolds are the natural generalization of elliptic K3 surfaces and have been used to study and construct examples of compact Hyper-K\"ahler manifolds and (possibly singular) symplectic varieties. In this talk I will talk about some recent compactification techniques I introduced for quasi-projective Lagrangian fibrations, with applications to the study of Prym, Intermediate Jacobian, and Albanese fibrations.