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...
We model the uncertainties in (random) coefficient functions of an elliptic partial differential equation by expanding these coefficients as function series with scalar random coefficients. This gives...
The aim of this seminar is to highlight the combinatorial aspects that arise from studying the compactifications of the moduli space of smooth curves. We will provide an overview of the construction o...
Hénon maps were introduced by Michel Hénon as a simplified model of the Poincaré section of the Lorenz model. They are among the most studied discrete-time dynamical systems that exhibit chaotic behav...
I will report on recent developments concerning the control of a class of short-range perturbations of the Hamiltonian of an Ising chain. An example covered by our analysis is the celebrated XXZ chain...
Society's ever-increasing integration of autonomous systems in day-to-day life has simultaneously brought forth concerns as to how their safety and reliability can be verified. To this end, reachable ...
The dynamics of variable-in-shape drug particles are fundamental to predict the dissolution of drugs in a fluid. In this talk we propose a new approach which consists of describing the dissolution pro...
Cluster algebras are commutative algebras with a special combinatorial structure. A cluster algebra is a subalgebra of a field of rational functions in several variables that is generated by a disting...
In this talk I will present some new results I have recently obtained about homogenization of viscous Hamilton-Jacobi equations in dimension one in stationary ergodic environments with nonconvex Hamil...