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.…
Categoria evento: Seminars
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…
On a Bennequin-type inequality – Carlo Collari (Università di Firenze)
Let k be a knot (i.e. an embedding of S^1into S^3). Once S^3is seen as the boundary of D^4, one can ask which kind of (properly) embedded surfaces in D^4have k as boundary. Finding the minimal genus of such a surfaces (called slice genus) is a…
Large deviations for the Allen-Cahn approximation of the mean curvature flow – Adriano Pisante (Universita’ di Roma La Sapienza)
We consider the sharp interface limit for the Allen-Cahn equation on the three dimensional torus with deterministic initial condition and deterministic or stochastic forcing terms. In the deterministic case, we discuss the convergence of solutions…
Flussi geometrici su varietà con bordo – Giovanni Mascellani (Scuola Normale Superiore)
I flussi geometrici sono oggetti geometrici che, a partire dalla loro introduzione da parte di Hamilton nel 1981, si sono rivelati strumenti molto potenti per risolvere problemi di analisi geometrica (particolarmente nota è la dimostrazione della…