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Semi-Lagrangian schemes for Vlasov type equations

In this talk we give an overview of some semi-Lagrangian schemes that are applied to the numerical resolution of the Vlasov equation. The latter equation models typically the time evolution of charged...

Yamabe flow on smooth and singular spaces: old and new results

Yamabe flow is an intrinsic geometric flow that deforms the metric of a Riemannian manifold. If the flow converges, it deforms the metric to a metric of constant scalar curvature with the sign dependi...

Extra twisted connected sums and their v-invariants

Riemannian Manifolds with holonomy G_2 are interesting both for geometers and for theoretical physicists. I will give a short introduction into the basics of G_2-geometry. I will then introduce the Cr...

Equidistribution of Noether-Lefschetz loci

Let V−>B be a holomorphic family of smooth complex projective and polarized varieties. The Noether-Lefschetz locus of B is the set of points x where the Picard rank jumps, i.e. where H_2(V_x) has e...

Conformally invariant random fields, quantum Liouville measures, and random Paneitz operators on Riemannian manifolds of even dimension

On large classes of closed even-dimensional Riemannian manifolds M, we construct and study the Copolyharmonic Gaussian Field, i.e. a conformally invariant log-correlated Gaussian field of distribution...

Strutture algebriche con origine in fisica: W-algebre

Nel seminario si introdurrà la nozione di W-algebra che trova importanti applicazioni in teoria delle rappresentazioni e fisica matematica. Si presenterà un approccio sistematico allo studio delle W-a...

Hyperbolic hydrodynamic limits and thermodynamic entropy solutions

We study the hydrodynamic limit of a anharmonic chain subject to boundary condition in the hyperbolic space-time scale. By suitably adding noise to the Hamiltonian dynamics the macroscopic equation is...

Sulle superfici sferiche con punti conici.

Una superficie sferica con punti conici è una varietà reale, compatta, orientata, di dimensione 2, che può essere ottenuta dall'unione disgiunta di finiti triangoli sferici convessi, identificando iso...

Alcuni risultati sul calcolo di potenziali multidimensionali

Inizialmente presenterò alcuni risultati riguardanti il calcolo di potenziali di volume basati sull' "approximate approximation" delle relative densità mediante funzioni gaussiane o funzioni ad esse c...

Operator algebraic aspects of Quantum Field Theory

La teoria algebrica dei campi quantistici è una teoria assiomatica utile a costruire e studiare proprietà di modelli quantistico-relativistici definita da Haag e Kastler nel 1964. In questa analisi si...

Some prescribed curvature problems in differential geometry

An important class of problems in geometric analysis consists in deforming the metric of a surface (or higher-dimensional manifold) in suitable ways, so that the new metric has a prescribed value of c...

Deformations of varieties of general type

We prove that small deformations of a projective variety of general type are also projective varieties of general type, with the same plurigenera....