Let V−>B be a holomorphic family of smooth complex projective and polarized varieties. The Noether-Lefschetz locus of B is the set of points x where the Picard rank jumps, i.e. where H_2(V_x) has e...
Abstract: Anyons are quantum particles with statistics intermediate between bosons and fermions, arising in less than 3 dimensions. There are two possible approaches: one uses multi-valued wave functi...
On large classes of closed even-dimensional Riemannian manifolds M, we construct and study the Copolyharmonic Gaussian Field, i.e. a conformally invariant log-correlated Gaussian field of distribution...
The symmetry of solutions of elliptic equations is a classical and challenging problem in PDE, connected with stability. In this talk we are concerned with parabolic equations and we ask whether the 1...
Besides their self-evident geometric significance, which can be traced back at least to Courant, free boundary minimal surfaces also naturally arise in partitioning problems for convex bodies, in capi...
In this talk we introduce a general class of singularly-perturbed elliptic functionals Fε and we study their asymptotic behaviour as the perturbation parameter ε > 0 vanishes. Under suitable assump...
We consider the problem of finding domains that minimize the first eigenvalue of the Dirichlet Laplacian in a Riemannian manifold under volume constraint (Faber-Krahn minimizers). In the Euclidean set...
I report here on a series of joint works with Alessandro Zilio (Université de Paris) about systems of competing predators interacting with a single prey. We focus on the analysis of stationary states,...
Sub-Riemannian systems are an important class of nonlinear control systems with linear dependence on controls. Controllability properties for such systems are derived by the so-called Lie Algebra rank...
Il mio principale tema di ricerca è l'approssimazione di problemi su larga scala per equazioni alle derivate parziali (PDE). Ciò coinvolge metodi numerici che risolvono PDE in tempo reale mediante tec...
Una superficie sferica con punti conici è una varietà reale, compatta, orientata, di dimensione 2, che può essere ottenuta dall'unione disgiunta di finiti triangoli sferici convessi, identificando iso...
Inizialmente presenterò alcuni risultati riguardanti il calcolo di potenziali di volume basati sull' "approximate approximation" delle relative densità mediante funzioni gaussiane o funzioni ad esse c...
