Il titolo si riferisce al teorema di Cayley-Hamilton che esprime il fatto che una matrice n×n su un anello commutativo A soddisfa il suo polinomio caratteristico. La Teoria delle algebre di Cayley-Ham...
In this talk, we will describe how to construct a basis of Bott-Samelson bimodules, called singular light leaves. Bott-Samelson bimodules are algebraic objects that correspond geometrically to resolut...
The classical Bloch-Ochiai theorem states that a complex projective manifold with irregularity larger than its dimension has no Zariski dense entire curve. I will present a generalization of this theo...
The counts of algebraic curves in an algebraic variety satisfying specific geometric conditions are referred to as Gromov-Witten invariants of the variety. In my talk, I will focus on these invariants...
SOL is one of Thurston's eight classical homogeneous Riemannian geometries, possibly the most exotic one. To get some insight of this geometry, it might be helpful to visualize the shape of a large sp...
A discrete and faithful representation of a surface group in PSL(2,C) is said to be quasi-Fuchsian when it preserves a Jordan curve on the Riemann sphere. Classically these objects lie at the intersec...
The Brauer group, classifying Azumaya algebras up to Morita equivalence, is a fundamental invariant in number theory and algebraic geometry. Given a moduli problem M (e.g. smooth curves of a given gen...
Bryant’s Laplacian flow is an analogue of Ricci flow that seeks to flow an arbitrary initial closed G_2-structure on a 7-manifold toward a torsion-free one, to obtain a Ricci-flat metric with holonomy...
Fano varieties are projective varieties with “positive curvature”. Examples of Fano varieties are projective spaces, products of projective spaces, Grassmannians and hypersurfaces in projective spaces...
Non-commutative Iwasawa theory has emerged as a powerful framework for understanding deep arithmetic properties over number fields contained in a p-adic Lie extension and their precise relationship to...
In this talk I will report on a joint work in progress with E. Fatighenti, in which we study some special vector bundles on the Fano variety of lines of a cubic fourfold. We will see that these bundle...
Let G be a reductive connected group over an algebraically closed field of characteristic p . Of particular importance in the study of G is the set u(G) of unipotent conjugacy classes. It is known tha...
