Top-level heading

Asymptotic Geometry in SOL

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...

Approximation of stable solutions to second order mean field game systems

We introduce a general framework for the study of numerical approximations of a certain class of solutions, called stable solutions, of second order mean-field game systems for which uniqueness of sol...

Random Splitting of Fluid Models: Ergodicity, Convergence and Lyapunov exponents

We consider a family of processes obtained by decomposing the deterministic dynamics associated with some fluid models (e.g. Lorenz 96, 2d Galerkin-Navier-Stokes) into fundamental building blocks - i....

Prescribing curvatures in the disk via conformal change of the metric

In this talk, we present a general existence result to the problem of prescribing curvatures on a disk under conformal changes of the metric. We treat the case of negative Gaussian curvature, as a fir...

Fixed-curve counts in algebraic varieties

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...

On the CW-structure induced by a Morse-Smale gradient flow

A classic yet delicate fact of Morse theory states that the unstable manifolds of a Morse-Smale gradient-flow on a closed manifold M are the open cells of a CW-decomposition of M. I will describe a se...

Optimal control for orbital transfer of LEO satellites with Low-Thrust engines

The research project, in collaboration with Thales Alenia Space Italia SpA, aims to study, develop and numerically simulate innovative methods for optimizing the orbital transfer of small satellites i...

Il problema della regolarità delle geodetiche sub-Riemanniane // The regularity problem of sub-Riemannian geodesics.

IT: Presenteremo lo stato dell'arte sul problema della regolarità delle curve minime della lunghezza in varietà sub-Riemanniane, un problema aperto da almeno 40 anni. Il seminario avrà un carattere...

Some properties of Steklov eigenfunctions.

Abstract: I present some results concerning the number of critical points and the number of nodal domains of Steklov eigenfunctions. The results have been obtained in collaboration with Luca Battaglia...