Oggi sembra scontato che chi ha origini europee abbia anche la pelle bianca, ma è così solo da poche generazioni. Lo studio del DNA antico permette di ricostruire come e quando sia cambiato il nostro ...
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...
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...
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...
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...
Abstract: Weyl groups for the Cuntz algebras were introduced implicitly by Cuntz at the end of the seventies. However, they remained largely ignored probably because of computational difficulties unti...
Lo scopo del progetto è quello di sviluppare attività interdisciplinari mirate a ridurre l’”Ansia Matematica” e a sviluppare e consolidare alcune abilità matematiche di base contestualmente allo svilu...
In join work with Manon Parent we have investigated how small the $L^2$-norm of an exponential polynomial can get if we fix the norm of the its coefficient vector. We prove lower and upper bounds of t...
In 1972, Serre proved that the Galois representations arising from the $p$-power torsion points of non-CM elliptic curves over $\mathbb{Q}$ have open image in $\operatorname{GL}_2(\mathbb{Z}_p)$, and ...
