We focus our attention on shape optimization problems in which one dimensional connected objects are involved. Very old and classical problems in calculus of variation are of this kind: euclidean Steiner’s tree problem, optimal irrigation networks,…
Eventi
Numerical Analysis Seminar – Eigenvalues and eigenvectors of matrix polynomials – Raf Vandebril (KU Leuven)
Venue Sala Seminari (Dip. Matematica). Abstract…
An introduction to the Kuramoto model for synchronization – Debota Amadori (universita’ de L’Aquila)
We consider the Kuramoto model, originally proposed to describe a set of N oscillators coupled through their phase, and its kinetic version obtained in the mean-field limit. After a review of the basic properties of the discrete system, we will…
Embedding arithmetic hyperbolic manifolds – Leone Slavich (Università di Pisa)
Given an n-dimensional hyperbolic manifold M, it is reasonable to ask whether or not it can be realized as a totally geodesic, embedded submanifold of an (n+1)-dimensional hyperbolic manifold. If this is true, we say that M geodesically embeds.…
Il crittografo: un mestiere da matematico nel 2017 – Massimiliano Sala (Università di Trento)
In questo intervento parleremo del mestiere di crittografo, fornendo dapprima un breve excursus su questo antichissimo mestiere e successivamente un’analisi…
Anisotropic energies in Geometric Measure Theory. – Antonio De Rosa (Universita’ di Zurigo)
We present our recent extension of Allard’s celebrated rectifiability theorem to the setting of varifolds with locally bounded first variation with respect to an anisotropic integrand. In partic- ular, we identify a necessary and sufficient…
New perspectives on lattice gauge field theories – Stéphane Baseilhac (Université de Montpellier)
Venue Sala Seminari (Dip. Matematica). Abstract…
Bodies of minimal aerodynamic resistance with a relaxed convexity constraint. – Edoardo Mainini (Universita’ di Genova)
We characterize the solution to the Newton minimal resistance problem in a specific class of hollow profiles, satisfying a q-concavity condition. We treat two-dimensional bodies and radially symmetric three-dimensional bodies.…
Entropy and length rigidity of negatively curved manifolds of finite volume – Andrea Sambusetti (Roma La Sapienza)
The problems of conjugacy rigidity and of entropy rigidity have a long history, with major breakthroughs in the last twenty years, for negatively curved compact manifolds and symmetric spaces. On the other hand, little is known for finite volume…
A quasilinear equation with orthotropic structure – Lorenzo Brasco (Universita’ di Ferrara)
We present a variant of the $p-$Laplacian operator, which arises as the first variation of a suitable Dirichlet integral. The corresponding elliptic equation is much more degenerate and singular than that for the standard $p-$Laplacian operator and…