This talk is based on joint work with Luigi Lunardon. To every smooth and proper variety X with trivial canonical bundle over the field of complex Laurent series C((t)), one can attach its motivic zet...
For any smooth surface S we will introduce an associative algebra acting on the homology of (suitable) moduli spaces (or stacks) of coherent sheaves on S, by elementary modifications at points of S. T...
Motivated by constructions appearing in mirror symmetry, we consider the problem of finding canonical representatives for a complexified Kähler class on a compact complex manifold. These are complex c...
Fano varieties of K3 type are a special class of Fano varieties, which are usually studied for their link with hyperkähler geometry, rationality properties, and much more. In this talk, we will recap ...
Analytic torsion is an important secondary spectral invariant of compact Riemannian manifolds. The famous Cheeger-Müller theorem states that for a compact Riemannian manifold equipped with a unitary f...
This talk deals with the group of birational transformations of the complex projective plane. After some examples, we will see that this group satisfies some (but not all) properties of linear groups....
C'è una curiosa analogia tra i numeri primi e le lunghezze delle geodetiche chiuse primitive ("prime") sulla superficie modulare. Nel seminario introdurrò le geodetiche in considerazione e cercherò di...
After reviewing some basic properties of holomorphic Poisson geometry, we will present a decomposition result in the Kähler case: if a compact Kähler Poisson manifold has a compact symplectic leaf wit...
In this talk I will explain how to recognize complex tori among Kähler klt spaces (smooth in codimension 2) in terms of vanishing of Chern numbers. It requires first to define Chern classes on singula...
Lo studio dei limiti di Gromov-Hausdorff di varietà è cominciato negli anni ottanta grazie a un teorema di precompattezza di Gromov per le varietà la cui curvatura di Ricci è limitata inferiormente. S...
