Analytic torsion is an important secondary spectral invariant of compact Riemannian manifolds. The famous Cheeger-Müller theorem states that for a compact Riemannian manifold equipped with a unitary f...
We address the problem of reconstructing a real potential $V$ from the Dirichlet-to-Neumann map of a Schrödinger operator $-\Delta + V$ on the boundary of a domain in Euclidean space (the reconstructi...
Abstract: Entropy and irreversibility, two fundamental concepts underlying physical processes, and now also at the core of digital processes for simulation and evolution of artificial models. We will ...
This talk deals with the group of birational transformations of the complex projective plane. After some examples, we will see that this group satisfies some (but not all) properties of linear groups....
We discuss the large deviations asymptotic of the time-averaged empirical current in stochastic lattice gases in the limit in which both the number of particles and the time window diverges. For some ...
C'è una curiosa analogia tra i numeri primi e le lunghezze delle geodetiche chiuse primitive ("prime") sulla superficie modulare. Nel seminario introdurrò le geodetiche in considerazione e cercherò di...
We discuss models for reaction-diffusion phenomena based on hyperbolic equations. The standard approach uses parabolic systems, which are well suited to explain events such as heat transmission in clo...
Abstract: Rare events for dense random graphs are well described using the theory of large deviations and graphons. When graphs are sparse the picture is less clear, objects that describe globally the...
The fact that the flow of a hypersurface by its mean curvature can be seen as a gradient flow of the surface area has motivated an influential minimizing movement scheme (Almgren-Taylor-Wang, Luckhaus...
Abstract: In contrast to their classical counterparts, one-dimensional quantum spin systems are interesting, they have intriguing behaviour, and they are difficult to study. I will describe a family o...
After reviewing some basic properties of holomorphic Poisson geometry, we will present a decomposition result in the Kähler case: if a compact Kähler Poisson manifold has a compact symplectic leaf wit...
