Given a vector bundle of arbitrary rank with ample determinant line bundle on a projective manifold, we propose a new elliptic system of differential equations of Hermitian-Yang-Mills type for the cur...
In this talk I will give a broad presentation of my research interests which are in the interplay of modeling, analysis and numerical treatment of Partial Differential Equations (PDEs) describing coll...
I will present some recent results concerning highly degenerate elliptic equations of fully nonlinear type. In particular I will speak about the singular Dirichlet problem, the strong maximum principl...
The Brauer group of an algebraic variety X is the group of Azumaya algebras over X, or equivalently the group of Severi-Brauer varieties over X. It is a central object in algebraic and arithmetic geom...
I will give a general overview of the main results concerning existence and qualitative properties of solutions to a family of semilinear elliptic problems involving critical Moser-Trudinger type non-...
This talk will consider several examples of large-scale random systems, such as particles systems with conservation laws, systems of random walks with mutual or self-interaction, the dimer model in Z^...
We study the two-dimensional viscous flow past a solid boundary using vortex particle methods. Vortex methods are Lagrangian methods used for the resolution of Navier - Stokes equations in vorticity-v...
In this talk, we discuss a data-driven regression framework for the computation of high-dimensional optimal feedback laws. We propose a causality-free approach for approximating the value function of ...
Il seminario mira a dare una panoramica sulla Teoria KAM debole dalla sua nascita alla fine degli anni 90 dello scorso secolo sino ai piurecenti sviluppi ed applicazioni. Si trattera soprattutto il ca...
We present a novel computational framework for portfolio-wide risk management problems where the presence of a potentially large number of risk factors makes traditional numerical techniques ineffecti...
We study the influence of electric fields on 3D surfactant-covered drops using a spectrally accurate boundary integral method. Surfactants (surface-active-agents) are compounds that change the surface...
