Sia k un campo algebricamente chiuso e V una k-rappresentazione fedele di un l-gruppo G.Il problema di Noether è di comprendere se la varietà V/G è (stabilmente) razionale. Se lacaratteristica di k è ...
The Margulis Lemma states that in a hyperbolic manifold, the subgroup of the fundamental group generated by small loops around a certain point behaves like an abelian group (more precisely, it is virt...
Given a projective complex manifold M with an ample polarization there is canonically associated an affine bundle Z over M. The question I will discuss is under which circumstances Z is an affine vari...
The moduli space of smooth complex cubic surfaces can be compactified from the point of view of geometric invariant theory (GIT), and from the point of view of the ball quotient. The Kirwan desingular...
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 ...
The strong Green-Griffiths-Lang conjecture predicts that a complex quasi-projective variety X is of log general type if and only if there is a proper Zariski closed subset Z of X such that all the hol...
Associative submanifolds are certain calibrated submanifolds in G2-manifolds. There is the hope that counting them will reveal subtle information about the underlying G2-structure. On the other hand, ...
Spesso molti esempi di varietà simplettiche con azioni Hamiltoniane di gruppi vengono dalla geometria algebrica; questo è il caso, per esempio, per le varietà simplettiche toriche, nelle quali la dime...
Denoting with H^n the n-dimensional hyperbolic space, we show that constant mean curvature hypersurfaces in H∧n×R with small boundary contained in a horizontal slice P are topological disks, provided ...
A rational Cherednik algebra is a flat deformation of a skew product of the Weyl algebra and a Coxeter group W. I am going to discuss two interesting subalgebras of Cherednik algebras going back to th...
Motivated by physics, in the late 1990s Sen discussed a construction of complete hyperkähler metrics in (real) dimension 4 and so-called ALF (asymptotically locally flat) asymptotics as a "superpositi...
