Chennai Mathematical Institute

Seminars




3.30pm, Seminar Hall
Some Lagrangian fibrations in algebraic geometry

Enrico Arbarello
Universita di Roma "La Sapienza", Italy.
20-02-19


Abstract

We will discuss Lagrangian fibrations having as fibers Jacobian of curves and Prym varieties. This will involve the geometry of moduli spaces of sheaves on K3 surfaces and the geometry of cubic threefolds and fourfolds. We will start with the classical results by Mukai and Beauville and we will discuss results by O’Grady, and the recent developments by Laza-Saccà-Voisin. We will also illustrate some joint work with Saccà.