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...
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 ...
After recalling some background on Goresky-Kottwitz-MacPherson (GKM) version of the Localization Theorem for equivariant cohomology, and some of the applications of such a result to (equivariant) Schu...
This talk is about the 4D/2D duality by Beem et al., a new connection between quantum field theory and representation theory discovered rather recently. It associates an algebraic object called VOA to...
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...
This talk will describe recent joint work with Radu Laza on deformations of generalized Fano and Calabi-Yau varieties, i.e. singular versions of complex manifolds whose curvature is either positive or...
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...
Let G be a complex reductive group and C be a complex smooth projective curve of genus at least two. The moduli space of G-Higgs bundles over C has a natural structure of holomorphic symplectic quasi-...
