SEMINARIO DI GEOMETRIA ALGEBRICA

Nell'ambito del seminario congiunto di geometria algebrica
organizzato dai Dipartimenti di Matematica dell'Università e del Politecnico di Milano,

lunedì 03 Luglio alle 14:30 (durata 1 ora)

in Sala Rappresentanza del Dipartimento di Matematica "F. Enriques",

si terrà il seguente seminario:

Justin Sawon
(University of North Carolina)

Lagrangian fibrations in four and six dimensions

 

Abstract. 
We consider Lagrangian fibrations by abelian surfaces and threefolds over the complex projective plane and threespace, respectively, with total space holomorphic symplectic manifolds or varieties. We recall some classification results of Markushevich, Kamenova, and the speaker in the principally polarized case, and a new classification result in the (1,2) polarized case (joint work with Xuqiang Qin). We also describe restrictions on the polarization; indeed, `most' polarizations are not possible.