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...
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...
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...
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...
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...
Holomorphic line bundles play many important roles in complex analytic geometry. In the higher rank case, much less is known, but there have been important advances in the last 15 years. After a revie...
I will discuss joint work with Marco Maculan in which we prove the Shafarevich conjecture for a large class of irregular varieties over number fields. Our proof combines the method of Lawrence-Sawin w...
I will describe a family of hyperplane arrangements in lattices of signature (n, 2) for which the graded rings of modular forms with poles on those hyperplanes are freely generated. The largest exampl...
In this talk we show how to apply the framework developed by Sam and Snowden to study structural properties (eg. bound on rank and order of torsion) of graph homologies, in the spirit of Ramos, Miyata...
In the first part of the talk I will discuss a "holographic" index theorem for compact manifolds with boundary. It relates the index of a boundary value problem to the index of an operator on the boun...
