Abstract: The presentation will outline recent advances in disease prediction through the integration of national health registries, genomic data, and artificial intelligence. Using data from the...
We characterize rotationally symmetric solutions to the Serrin problem on ring-shaped domains in ℝn (n ≥ 3). Our proof relies on a comparison geometry argument. In particular, by taking advantage of a...
In this talk we will review recent progress in the application of glueing techniques to the construction of Einstein metrics on closed manifolds. We will focus in particular in the case of negatively ...
In 1919, while studying birational automorphisms of the projective plane, A. Coble introduced a new family of surfaces, today known as Coble surfaces. We start by showing some basic facts, and underl...
We characterize rotationally symmetric solutions to the Serrin problem on ring-shaped domains in $\mathbb R^n$ (n ≥ 3). Our proof relies on a comparison geometry argument. In particular, by taking adv...
Tropical geometry studies a piecewise linear, combinatorial shadow of
degenerations of algebraic varieties. In many cases, usual
algebro-geometric objects such as divisors or line bundles on curves
ha...
We are interested in (viscosity) solutions of Hamilton-Jacobi equations of the form $G( \lambda u_\lambda(x),x,D_x u_\lambda) = cst $ where $u_\lambda : M \to \mathbb{R}$ is a continuous function defi...
Tropical geometry studies a piecewise linear, combinatorial shadow of
degenerations of algebraic varieties. In many cases, usual
algebro-geometric objects such as divisors or line bundles on curves
ha...
The Poisson boundary is a measure-theoretic object attached to a group equipped with a probability measure, and is closely related to the notion of harmonic function on the group. In many cases, the g...
