Speaker:

Grzegorz Kapustka

Title:

Hyperkahler fourfolds and Abelian varieties.

Abstract:

We will disscus the relations between the unique irreducible principally polarised abelian fourfold with 10 vanishing thetaconstants and the hyperkahler fourfold described by M. Donten-Bury and J. Wisniewski. As an application we obtain a countrexample to the O'Grady problem about pairwise incident planes. This is a work in progress with M. Donten-Bury, B. Van Geemen, M. Kapustka, J. Wisniewski.