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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...

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),...

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...

Only 3-points survive!

We study some qualitative properties of the solutions to a segregation limit problem in planar domains. The main goal is to show that, generically, the limit configuration of N competing populations c...

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...

Limit Theorems for Classical Gases

We consider classical continuous system of interacting particles in Euclidean space (classical gas). Our approach to the limit theorems for the particle number is based on the method of cluster expans...

Test function approach to fully nonlinear equations in thin domains

In this seminar we will illustrate a work in collaboration with Ariela Briani and Hitoshi Ishii that extents the well known result on thin domains of Hale and Raugel. The test function approach of C. ...