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...
L’iniziativa è organizzata dal gruppo “BrainJuice”, una rete di studenti e ricercatori attivi nella comunicazione e divulgazione scientifica nei campi delle neuroscienze e dell’intelligenza artificial...
The behavior of the Ising model under external control mechanisms is of interest in a wide variety of applications, including biological systems, social dynamics, and information processing. In this t...
The dynamical formulation of optimal transport
between two probability measures $\mu_0,\mu_1$ on a (sub)Riemannian manifold $M$, aims at minimizing
the square integral of a Borel family of vector fiel...
A classical rigidity result of Alexandrov asserts that if $ 1 \leq k \leq n $ is an integer and $ \Sigma $ is a compact $ C^2 $-regular hypersurface of $ \mathbf{R}^{n+1} $ such that the $ k $-t...
A classical rigidity result of Alexandrov asserts that if $ 1 \leq k \leq n $ is an integer and $ \Sigma $ is a compact $ C^2 $-regular hypersurface of $ \mathbf{R}^{n+1} $ such that the $ k $-th mea...
Abstract: In this colloquium talk I will make a general presentation about a number of topics intervening in the area of functional inequalities. Like the very diverse qualitative properties of t...
We consider in this talk the celebrated Brézis-Nirenberg equation in the non-coercive case $\lambda > \Lambda_1$, where $\Lambda_1$ is the first eigenvalue of the Laplacian on a bounded open set of...
In the 1990s, Stanley and Brenti developed the foundations of what is now known as the Kazhdan--Lusztig--Stanley (KLS) theory. To each kernel in a graded poset, one may associate special functions cal...
This talk will try to remain at an elementary technical level while its main purpose is to build a bridge between hard-core people working on spectral theory of (non)self-adjoint operators, and hard-c...
Let $(M,g)$ be a closed Riemannian manifold of dimension $n \ge 3$ and $P_g$ be a conformally-covariant operator on $(M,g)$. We consider in this talk two problem at the crossroads of conformal geometr...
We prove a conjecture of Cherednik describing the Betti numbers of compactified Jacobians of unibranch planar curves via superpolynomials of algebraic knots. The methods of the proof use the theory of...
