W-algebras are certain vertex algebras associated with nilpotent elements of a simple Lie algebra. The apparence of the AGT conjecture in physics led many researchers toward to these algebraic structu...
The tautological ring is a certain subring of the Chow ring of the moduli space of curves. It is generated by the algebraic cycles that arise from the modular nature of the moduli space, and is one of...
The aim of this course is to present some recent advances in the theory of stable sheaves on higher dimensional hyper-Kähler manifolds. In the first part we will review Mukai's theory on K3 surfaces. ...
Cluster algebras of type A are subalgebras of a field of rational functions in several variables. They are generated by a distinguished set of generators, the cluster variables, which correspond to th...
Magnetic systems are the natural toy model for the motion of a charged particle moving on a Riemannian manifold under the influence of a (static) magnetic force. In this talk we introduce a curvature ...
We study some qualitative properties of the solutions to a segregation limit problem in planar domains. The main goal is to show that, generically, the limit configuration of N competing populations c...
We present some results for Radon measure-valued solutions of first order scalar conservation laws. In particular we discuss the case in which the singular part of the initial datum is a superposition...
In this talk, we use an enhanced Lyapunov-Schmidt reduction method to study a specific class of nonlinear Schrödinger systems with sublinear coupling terms. We establish the existence of infinitely ma...
The aim of this course is to present some recent advances in the theory of stable sheaves on higher dimensional varieties, in particular Fano and hyper-Kähler manifolds. We will start by reviewing the...
We consider radial solutions of fully nonlinear, uniformly elliptic equations posed in punctured balls, in presence of radial singular quadratic potentials. We discuss both the principal eigenvalues p...
