Algebraic and Arithmetic Geometry Seminar

Birational geometry of the intermediate Jacobian fibration

by Giulia Saccà (Columbia University)

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I will start by presenting some applications of the minimal model program to the construction of symplectic compactifications of certain Lagrangian fibrations (integrable systems) of geometric origin. One such case is that of the intermediate Jacobian fibration associated to a cubic fourfold (Donagi-Markman integrable system). In the second part of the talk, I will discuss aspects of the birational geometry of this fibration (e.g. the Mordell-Weil group).