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...
Traffic flow and pedestrian crowds are complex phenomena characterised by different collective dynamics. Inspired by recent work in control engineering by Knorn et al. and Matei et al., we explore the...
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...
Optimization problems subject to PDE constraints form a mathematical tool that can be applied to a wide range of scientific processes, including fluid flow control, medical imaging, option pricing, bi...
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...
The study of word problems dates back to the work of Dehn in 1911. Given a recursively presented algebra \(A\), the word problem of \(A\) is to decide if two words in the generators of \(A\) refer to ...
