On a diffusive space-time scaling, density fluctuations behave very differently in extended completely integrable systems with respect to chaotic systems. I will expose some recent results concerning ...
A strong geometry with torsion is a Riemannian manifold carrying a metric connection
with closed skew-symmetric torsion. In the seminar I will first review general properties of metric connections...
On a diffusive space-time scaling, density fluctuations behave very differently in extended completely integrable systems with respect to chaotic systems. I will expose some recent results concerning ...
In this 8 hours course, designed for PhD students and researchers, but also accessible to Master’s students in Mathematics and Applied Mathematic, we will present the main definitions of the theory of...
This talk introduces the self-projecting Grassmannian, an irreducible subvariety of the Grassmannian parametrizing linear subspaces that satisfy a generalized self-duality condition. We study its rela...
Recently the learning problems took the center stage in area of theoretical computer science. An amazing and beautiful thing is that they are harmonic analysis problems at heart. The lecture concerns ...
Deep neural networks, in the infinite-width limit, give rise to isotropic Gaussian processes whose spectral and geometric features encode fundamental information about network architectures and activa...
Numerous orbits exist in the solar system or in astrodynamics with very peculiar motions. Their common feature is that they consist of two moons or satellites around a much heavier central attractor w...
In analytic number theory one needs to bound sums of oscillating functions, such as the Mobius function. Over function fields these are trace functions of sheaves, so their sums are controlled, in vie...
