Geometry/topology Seminar
Tuesday, September 13, 2016, 4:30pm, 119 Physics
Giulia Sacca (Stony Brook University)
Intermediate Jacobians and hyperKahler manifolds
Abstract:- In recent years, there have been more and more connections
between cubic 4folds and hyperkahler manifolds. The first instance of
this was noticed by Beauville-Donagi, who showed that the Fano
varieties of lines on a cubic 4folds X is holomorphic symplectic. This
talk aims to describe another instance of this phenomenon, which is
carried out in joint work with R. Laza and C. Voisin: given a general
cubic 4fold X, Donagi and Markman showed in 1995 that the family of
intermediate Jacobians of smooth hyperplane sections of X has a
holomorphic symplectic form. I will present a proof of this
conjecture, which uses relative compactified Prym varieties. [video]
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