Hamiltonian graphs are graphs where one can find a closed walk that touches all vertices exactly once. Equivalently, they are the graphs whose vertices can be labeled from 1 to n so that all of 12, 23, 34, …, n1 feature among the edges. This…
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From combinatorics to PDE – Francesco Mattesini (Münster University/Max Planck Institute Leipzig )
The optimal matching problem is a popular random variational problem that received interest in the last 30 years. It was…
Stochastic probing methods for estimating the trace of functions of sparse symmetric matrices – Michele Rinelli (Scuola Normale Superiore)
We consider the combination of two approaches for the trace estimation of a symmetric matrix function f(A) when the only feasible operations are matrix-vector products and quadratic forms with f(A): stochastic estimators, such as the Hutchinson…
Decrypting the Language of Climate Change through Natural Language Processing machine learning Techniques – Davide Faranda (CNRS Researcher in Climate Sciences)
In this lecture, I will be presenting exciting ways in which machine learning methods from Natural Language Processing (NLP) can be applied to the important issue of climate change. I will discuss the various techniques and algorithms used in NLP to…
Desingularization of semialgebraic sets and applications – Antonio Carbone (Università di Trento)
Hironaka’s desingularization results are very powerful tools that allow to desingularize algebraic sets defined over fields of characteristic zero. If…
Annealed quantitative estimates for the 2D-discrete random matching problem – Francesco Mattesini (Max Planck Institute for Mathematics in the Sciences, Leipzig)
The optimal matching problem is a classical random variational problem which may be interpreted as an optimal transport problem between…
Per una storia della teoria dei gruppi di Lie: dalle origini a Cartan – Alberto Cogliati (Università di Pisa)
L’odierna teoria dei gruppi e delle algebre di Lie ha la propria origine in una serie di ricerche che il…
An overview on non-matching approximation methods for coupled problems across heterogeneous dimensions – Luca Heltai (SISSA, Trieste)
Many physical problems involving heterogeneous spatial scales, such as the flow-through fractured porous media, the study of fiber-reinforced materials, or…
L-spaces, taut foliations and fibered hyperbolic two-bridge links – Diego Santoro (SNS Pisa)
Heegaard Floer homology was defined by Ozsváth and Szabó in the early 2000s. It consists of a package of invariants…
A regularity result for isoperimetric sets with density – Eleonora Cinti (Università di Bologna)
In this talk, I will present a recent regularity result for isoperimetric sets with densities, under mild H\¨older regularity assumptions…