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 ...
We will investigate the arithmetic properties of the j-invariant of a rank two Drinfeld module having CM by an order of an << imaginary quadratic function field. This talk is based on a joint wo...
An abelian differential is a smooth projective curve endowed with an algebraic one-form. I will discuss the uniformization of the moduli of abelian differentials provided by their periods, its arithme...
Let (X, D) be a projective kit pair, where KX+D is ample and D has standard coefficients. Guenancia and Taji have shown that a suitable version of the famous Miyaoka--Yau inequality holds in this sett...
Positively multiplicative graphs are graphs whose adjacency matrix can be embedded in a matrix algebra admitting a distinguished basis labelled by its vertices with nonnegative structure constants. It...
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...
I discuss how to practically put a log structure on a toroidal crossing space, and hopefully sketch applications to smoothing toric Fano varieties and log birational geometry. This is work in progress...
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...
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...
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...
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...
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...
