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...
I will describe a recent result in collaboration with M. Fortuna and E. Spadaro, based on a model introduce by Lauteri and Luckhaus for the analysis of small angle grain boundaries in crystals. The la...
Nonlinear Liouville equations are self consistent 1-degree of freedom (or d-degrees of freedom) Hamiltonian systems, like Vlasov Poisson Equation (VPE); 2D Euler ; and the Hamiltonian mean field model...
Classical spin-glass models such as Sherrington-Kirkpatrick's are paradigms for complex disordered systems. In 1980, Parisi described their thermodynamic behaviour using a novel order parameter that c...
We study quantum principal bundles on projective varieties using a sheaf theoretic approach. Differential calculi are introduced in this context. The main class of examples is given by covariant calcu...
In the common practice of the method-of-lines (MOL) approach for discretizing a time-dependent partial differential equation (PDE), one first applies spatial discretization to convert the PDE into an ...
Digital models (DMs) are designed to be replicas of systems and processes. At the core of a digital model (DM) is a physical/mathematical model that captures the behavior of the real system across tem...
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 1931 E. Schrödinger addressed the following question: what is the most likely evolution of a cloud of i.i.d. Brownian particles, conditionally on the observation of their initial and final configur...
