A classical result due to Clebsch from the mid-nineteenth century confirms that every complex space sextic curve (given as an intersection of a quadric and a cubic surface in projective 3-space) has e...
In this series of 4 lectures we discuss our recent proof (with Zaher Hani and Xiao Ma) on the long-time derivation of the Boltzmann equation, starting from hard sphere dynamics, under the Boltzmann-Gr...
The Rosenzweig-Porter (RP) model has recently gained a lot of attention as a paradigmatic (toy) model for studying localisation/delocalisation transitions.
In this talk, we report on a joint work wit...
Alla fine dell’epoca ellenistica
la consapevolezza epistemologica della natura di un modello matematico fu velocemente perduta.
Ben presto, come testimoniato dai lavori di Sesto Empirico, si cominciò...
The Space of Kahler potentials H (which has infinite dimension) can be thought as the limit of finite dimensional (!) symmetric spaces. This is known as Kähler quantization. In this talk we will take ...
A classical result due to Clebsch from the mid-nineteenth century confirms that every complex space sextic curve (given as an intersection of a quadric and a cubic surface in projective 3-space) has e...
We consider a notion of fractional s-area for codimension 2 surfaces in a closed Riemannian manifold or the Euclidean space, which can be seen as an extension of the fractional perimeter to higher cod...
The aim of this course is to introduce the Yang–Baxter equation, and how it arises as a sufficient condition for solvability of the lattice models of statistical mechanics. The related algebras of sym...
The study of Fourier coefficients of modular forms has a long and rich history, from Ramanujan’s conjectures to the modularity theorem relating modular forms to elliptic curves. In this talk, we first...
Positroid varieties are certain subvarieties of complex Grassmannians playing an important role in the theory of totally nonnegative Grassmannians. The positroid varieties can be defined in Lie theore...
