Abstract: In recent years, dilute quantum gases have attracted considerable interest from the mathematical and experimental physics communities, partly due to advances in ultracold atomic gas experime...
The complex projective space CP^n, which parametrizes the complex lines in C^{n+1}, is one of the most extensively studied objects in algebraic and complex geometry. The first Einstein metric discover...
We study semi-Lagrangian schemes for the numerical approximation of first-order Mean Field Games and Hamilton–Jacobi equations on networks.
As a first contribution, we present a numerical scheme for a...
In this talk we will focus for $N\geq 2$ on fractional $W^{1-1/N,N}$ maps from an $(N−1)$-dimensional sphere into itself as traces of maps with finite energies modelled on the N-Dirichlet integral. We...
Orthogonal Shimura varieties arise naturally as moduli spaces in algebraic geometry, one example being the moduli space of quasi-polarized K3 surfaces. Their geometry is closely related to the theory ...
Abstract: La congettura di Hodge predice l'esistenza di una profonda connessione tra la struttura di Hodge associata a una varietà liscia e proiettiva e lo studio delle sue sottovarietà. La congettura...
We investigate the behaviour of a gas of weakly interacting bosons in a box with periodic boundary conditions. Starting from a quasi-free truncation of the quantum BBGKY hierarchy and performing an ul...
In this talk, I discuss a joint work with Alexey Elagin and Evgeny Shinder that lies at the intersection of birational and derived geometry. What kind of geometric information is encoded in the derive...
Does the heterogeneous Fisher-KPP equation admit a unique stationary solution?
We will present a positive result which is valid up to dimension 6.
Then we will see that some surprises may occur in hig...
My research concerns the design and theoretical analysis of optimization algorithms motivated by machine learning. In this talk, I will give an overview of several directions of this work, connected b...
We consider a class of long-range exclusion processes evolving either on Z or on a finite lattice with open boundaries. For the power-law jump kernel, e.g., p(x,y)=|y-x|^{-1-gamma}1_{y>x}, it is kn...
Soficity is a property of groups generalising at once amenability and residual finiteness. It was introduced by Gromov and Weiss as a convenient class in which to establish many outstanding open quest...
