In 2019, Dimitrov proved the Schinzel-Zassenhaus Conjecture. Harry Schmidt and I showed how his general strategy can be adapted to cover some dynamical variants of this conjecture. One common tool in ...
In this seminar we present a mathematical model to describe the evolution of a city, which is determined by the interaction of two large populations of agents, workers and firms. The map of the city i...
We are concerned with a generalization to the singular case of a result of C.C. Chen e C.S. Lin [Comm. An. Geom. 1998] for Liouville-type equations with rough potentials. The singular problem is actua...
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. ...
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...
Aeppli and Bott-Chern cohomologies are useful invariants on compact complex manifolds, especially if they do not admit Kahler metrics. In this seminar we will introduce generalisations of these object...
The principle behind magnetic fusion is to confine high temperature plasma inside a device in such a way that the nuclei of deuterium and tritium joining together can release energy. The high temperat...
This is a joint work with Loic Grenié and Giuseppe Molteni. Given a positive integer \(d\) which is not a square, denote by \(T(d)\) the length of the period of the continued fraction expansion for \(...
