The Space of Kahler potentials H (which has infinite dimension) can be thought as the limit of finite dimensional (!) symmetric spaces. This is known as Kähler quantization. In this talk we will take ...
A classical result due to Clebsch from the mid-nineteenth century confirms that every complex space sextic curve (given as an intersection of a quadric and a cubic surface in projective 3-space) has e...
Nonlocal energies, such as fractional Sobolev seminorms, arise naturally in mathematical models involving long-range interactions. In this talk, we study minimizers of such energies that vanish on a c...
There is an increasing interest in finding optimal conditions ensuring regularity of solutions to n-Laplacian type equations, so aims of this talk are
to give a complete picture of recent results of ...
This talk offers a gentle introduction to the theory of graph Laplacians. Wherever feasible, I will present results for undirected and directed graphs in parallel. After discussing classical results i...
The Hopfield model represents a foundational paradigm in artificial intelligence, providing a prototypical example of an attractor neural network designed to implement associative memory. Since its in...
Abstract: The Hopfield model represents a foundational paradigm in artificial intelligence, providing a prototypical example of an attractor neural network designed to implement associative memo...
Abelian surfaces are complex tori whose enumerative invariants satisfy remarkable regularity properties. The computation of their (reduced) Gromov-Witten invariants for the so called primitive classes...
In this talk, we focus on the modeling and simulation of large-strain (hyperelastic) elasticity problems, with particular application to the study of soft biological tissues. We also consider friction...
We present some recent results on optimal control/differential games in cases where the state equation is a stochastic delay differential equation (SDDE) with delay in the state and/or in the control....
Motivated by the Green-Griffiths and Lang-Vojta conjectures, it is expected that the algebraic exceptional set of a log-surface $(X,B)$ of log-general type - which parametrizes rational curves on $X$ ...
Stable minimal hypersurfaces are a central topic in both Riemannian geometry and geometric analysis. Starting with the foundational work of Fischer-Colbrie and Schoen, the last decades have seen an in...
