Abstract: The XY and the Villain models are models which exhibit the celebrated Kosterlitz-Thouless phase transitions in two dimensions. The spin wave conjecture, originally proposed by Dyson and by M...
The standard Hadamard's well-posedness theory has been established for linear systems, or for smooth solutions of nonlinear systems. For weak solutions of nonlinear systems, the usual calculus and fun...
The moduli space of smooth complex cubic surfaces can be compactified from the point of view of geometric invariant theory (GIT), and from the point of view of the ball quotient. The Kirwan desingular...
Numerical simulations often involve 3D objects with spherical topology, e.g. rigid particles, drops, vesicles. When the underlying numerical method is based on boundary integral equations, standard qu...
Abstract: Consideriamo un sistema di marce aleatorie cicliche (``random walk loop soup") in presenza di autointerazioni e di interazioni mutuali. Tale modello dipende da un parametro, la temperatura i...
After introducing the main notions of evolution for rate-independent systems and the general abstract approach to prove their existence, I will discuss, in this framework, models coupling linearized e...
Sia k un campo algebricamente chiuso e V una k-rappresentazione fedele di un l-gruppo G.Il problema di Noether è di comprendere se la varietà V/G è (stabilmente) razionale. Se lacaratteristica di k è ...
We review space and time discretizations of the Cahn-Hilliard equation which are energy stable. In many cases, we prove that a solution converges to a steady state as time goes to infinity. The proof ...
The interplay between variational functionals and the Brunn-Minkowski Theory is currently a well-established phenomenon that has been widely investigated in the last thirty years. In this talk, we pre...
We consider finite-range, many-body fermionic lattice models and we study the evolution of their thermal equilibrium state after introducing a weak and slowly-varying time-dependent perturbation. Unde...
After recalling some background on Goresky-Kottwitz-MacPherson (GKM) version of the Localization Theorem for equivariant cohomology, and some of the applications of such a result to (equivariant) Schu...
In this talk we will present some analysis aspects of gauge theory in high dimension. First, we will study the completion of the space of arbitrary smooth bundles and connections under L^p-control of ...
