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The contact process on dynamic scale-free networks

In this talk, I will present recent results on the contact process on two specific types of scale-free, inhomogeneous random networks that evolve either through edge resampling or by resampling entire...

Tannaka Duality and GAGA Theorems in Algebraic Geometry

Tannaka Duality refers to the reconstruction of a compact group from its representations, while Serre's GAGA theorem relates coherent sheaves on an algebraic variety to its analytification. This talk...

Dynamical Low-Rank Approximation for Nonlinear Feedback Control

Effective feedback control is essential for optimizing dynamical systems by minimizing a predefined cost function, thereby stabilizing the system toward a desired state. Despite its proven effectivene...

Inverse problems in 1D fluid-solid interaction modelms in 1D fluid-solid interaction model

In this talk we consider inverse problems for the partial differential equations describing the behavior of certain fluids. Our focus will be on the fluid-structure interaction problem and the object...

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...

Some properties of Steklov eigenfunctions.

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 (Roma 3),...

L^2 Aeppli and Bott-Chern cohomology

Aeppli and Bott-Chern cohomologies are useful invariants on compact complex manifolds, especially if they do not admit Kahler metrics. In this seminar we will introduce generalisations of these object...

Feedback stabilization strategies for magnetically confined fusion plasma

The principle behind magnetic fusion is to confine high temperature plasma inside a device in such a way that the nuclei of deuterium and tritium joining together can release energy. The high temperat...

Radial singular solutions of fully nonlinear equations in punctured balls

We consider radial solutions of fully nonlinear, uniformly elliptic equations posed in punctured balls, in presence of radial singular quadratic potentials. We discuss both the principal eigenvalues p...

Dirichlet forms and dynamics on fractals

On several types of fractals, it is possible to build a Dirichlet form in a natural way; it is also possible to define a dynamical system and we shall see that the Dirichlet form has a natural relatio...

Learning how to teach mathematical modelling in school and teacher education - insights in theory, research in practice

Imparare a insegnare la modellizzazione matematica nella scuola e nella formazione degli insegnanti - approfondimenti teorici, ricerca pratica...