Quantum Hamiltonians with contact (or zero-range) interactions are useful models to analyze the behaviour of quantum systems at low energy in different contexts. In this talk we discuss recent mathema...
We consider a family of processes obtained by decomposing the deterministic dynamics associated with some fluid models (e.g. Lorenz 96, 2d Galerkin-Navier-Stokes) into fundamental building blocks - i....
Chen-Gounelas-Liedtke recently introduced a powerful regeneration technique, a process opposite to specialization, to prove existence results for rational curves on projective K3 surfaces. In the talk...
We explain our recent work on the classification of surfaces of general type with p_g=q=2 or p_g=q=1. Our approach is based on cohomological rank functions, the Chen-Jiang decomposition/Fujita decompo...
Abstract: (i) A powerful tool in regularity theory for PDEs is given by representation formulas: your solution is expressed by the convolution of the data of the equation with a kernel with known (goo...
Abstract: (i) A powerful tool in regularity theory for PDEs is given by representation formulas: your solution is expressed by the convolution of the data of the equation with a kernel with known (goo...
A discrete and faithful representation of a surface group in PSL(2,C) is said to be quasi-Fuchsian when it preserves a Jordan curve on the Riemann sphere. Classically these objects lie at the intersec...
We produce complete, non-compact, Riemannian metrics with positive constant \sigma_2-curvature on a sphere of dimension n>4, with a prescribed singular set given by a disjoint union of closed subma...
In this talk, I am going to present a mathematically rigorous version of Bogoliubov theory that has been developed in the last years and I am going to explain how it can be used to determine with high...
