A rational Cherednik algebra is a flat deformation of a skew product of the Weyl algebra and a Coxeter group W. I am going to discuss two interesting subalgebras of Cherednik algebras going back to th...
Denoting with H^n the n-dimensional hyperbolic space, we show that constant mean curvature hypersurfaces in H∧n×R with small boundary contained in a horizontal slice P are topological disks, provided ...
Spesso molti esempi di varietà simplettiche con azioni Hamiltoniane di gruppi vengono dalla geometria algebrica; questo è il caso, per esempio, per le varietà simplettiche toriche, nelle quali la dime...
Associative submanifolds are certain calibrated submanifolds in G2-manifolds. There is the hope that counting them will reveal subtle information about the underlying G2-structure. On the other hand, ...
We consider mean-field optimal control problems with selective action of the control, where the constraint is a continuity equation involving a non-local term and diffusion. First order optimality con...
Quantum simulators were originally proposed to be helpful for simulating one partial differential equation (PDE) in particular – Schrodinger’s equation. If quantum simulators can be useful for simulat...
This talk is devoted to the modeling and stability of multi-lane traffic flow in both microscopic and macroscopic frameworks. Firstly, we explore the dynamics of lane changing in microscopic variables...
The talk concerns the ongoing development of a non-standard model of continuum mechanics, originally due to Godunov, Peshkov, and Romenski (GPR), and its numerical approximation in Finite Volume and D...
In this talk we address the control of Partial Differential equations (PDEs) with unknown parameters. Our objective is to devise an efficient algorithm capable of both identifying and controlling the ...
We outline the proof that the self-intersection of the Arakelov canonical sheaf of the classical modular curves \(X_0(N)\) is asymptotic to \(3g\log N\), for \(N\) that tends to infinity and coprime w...
