We consider the critical Neumann problem in cones. We prove that the standard bubbles, which are the only radial solutions, become unstable for a class of nonconvex cones, which is defined through the...
Let F be a field. A basic way to study a Brauer class over F is through its splitting fields: field extensions of F over which the class becomes trivial. In this lecture, I will discuss a question of ...
The aim of the meeting is to bring together researchers working on the mathematical connections between microscopic and macroscopic scales, with a focus on interacting particle systems and kinetic and...
We introduce a new framework for the numerical solution of hyperbolic systems of partial differential equations, based on two different formulations of the same governing equations: a conservative for...
Ever since the 1970's there have been many efforts to extend the definition of the signature from smooth to singular spaces in a manner that remains invariant under bordisms. The first great success, ...
L'idea generale è di presentare un quadro degli sviluppi della disciplina e dei principali protagonisti, nel più ampio contesto della Facoltà di scienze dell'università romana, e delle vicende politic...
Durante il seminario, verrà presentato un nuovo strumento interpretativo realizzato con l'idea di favorire una lettura puramente geometrica delle proposizioni contenute nell’opera Le Coniche di Apoll...
I will show that any big line bundle on a smooth projective variety admits a special Fujita approximation: the volume and the first Riemann-Roch coefficient are both approximated by those of $\mathbb{...
Low-regularity metrics arise naturally in the realm of
geometric PDEs, especially in relation to physical models. It is well
known in Riemannian geometry that the components of such metrics have
the b...
In this talk, I will focus on behavior of the Ising model in high dimensions (d ≥ 4). Widom proposed that thermodynamic quantities follow power laws governed by critical exponents, and above the upper...
L'idea generale è di presentare un quadro degli sviluppi della disciplina e dei principali protagonisti, nel più ampio contesto della Facoltà di scienze dell'università romana, e delle vicende politic...
In this talk, we revisit some classical Liouville-type results in half spaces for uniformly elliptic equations. We extend these results to the nonuniformly elliptic equations known as false mean curva...
