In this talk I shall discuss some recent results about the construction of small and large amplitude quasi-periodic waves in Euler equations and other hydro-dynamical models in dimension greater or eq...
When minimizing a regularized functional - i.e., one of the form \(H(u) = F(u) + \alpha G(u)\), where \(G\) is a regularization term and \(\alpha\) is the regularization parameter - one generally expe...
- Abstract: In the first part of the course we will provide a brief introduction to the spectrum of the Laplacian on Euclidean domains and Riemannian manifolds, along with a few basic examples, and th...
The development of efficient reduced order models (ROMs) from a deep learning perspective enables users to overcome the limitations of traditional approaches. One drawback of the techniques based on c...
We will explain various higher dimensional generalizations of the Xiao-Cornalba-Harris slope inequality, and we will present several effective positivity results for Hodge bundles. We will talk about ...
The development of large multimodal deep learning models capable of learning joint representations of visual and textual information has led to unprecedented results in many image comprehension tasks....
Il workshop riguarda la ricostruzione del pensiero scientifico e matematico attraverso l’analisi del latino come lingua della scienza, nella sua evoluzione temporale. Lo scopo principale è quello di a...
In questo seminario parleremo di alcuni alcuni spazi topologici notevoli, detti spazi di nodi. Vedremo come vengono studiati, introducendo uno strumento importante: gli operad....
Gravity is derived from an entropic action coupling matter fields with geometry. The fundamental idea is to relate the metric of Lorentzian spacetime to a quantum operator, playing the role of an reno...
The dichotomy between existence and non existence of entire solutions is a key tool in many contests. We will give an overview of some classical and new results both for local and non local equations ...
