Top-level heading

On the convergence of a simple two scales dynamics

In this talk we will consider a SDE characterised by different time scales, different diffusion coefficients, and a confining potential V that couples all the degrees of freedom. The rates of converge...

Positively multiplicative graphs, affine Grassmannians and finite automatons

Positively multiplicative graphs are graphs whose adjacency matrix can be embedded in a matrix algebra admitting a distinguished basis labelled by its vertices with nonnegative structure constants. It...

How to make log structures

I discuss how to practically put a log structure on a toroidal crossing space, and hopefully sketch applications to smoothing toric Fano varieties and log birational geometry. This is work in progress...

Quantum information processing via a photonics platform

Abstract: Quantum computers exploit the incredible possibilities of quantum mechanics to significantly enhance computing power, compared with the computers currently available based on a conventional ...

Alcuni contributi intorno alla comprensione algebrica dell’iperbolicità nel senso di Kobayashi

Abstract: Una varietà complessa compatta X è iperbolica nel senso di Kobayashi se e solo se ogni applicazione olomorfa intera dal piano complesso verso X è costante.Trattasi di una proprietà squi...

Hypertoric varieties, W-Hilbert schemes and Coulomb branches

Motivated by physics, in the late 1990s Sen discussed a construction of complete hyperkähler metrics in (real) dimension 4 and so-called ALF (asymptotically locally flat) asymptotics as a "superpositi...

Exponential integrators for mean-field selective optimal control problems

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...

The free energy of the dilute Bose gas

The interacting Bose gas is a system in quantum statistical mechanics where a collective behavior emerges from the underlying many-body theory, posing interesting challenges to its rigorous mathematic...