Top-level heading

The Fermi-Pasta-Ulam-Tsingou problem: a challenge in mathematical physics

Abstract: The so-called Fermi-Pasta-Ulam-Tsingou (FPUT) problem, in large, concerns the problem of the approach of a Hamiltonian system to the state of equilibrium predicted by statistical mechanics. ...

Some regularity results in the Calculus of Variations

Abstract: Direct methods in the Calculus of Variations provide existence of minimizers under compactness and lower semicontinuity in suitable function spaces and topologies. Next, regularity tech...

Around the homogenization of HJ equations

Abstract: In this talk I will give an overview of the main results related to the homogenization of viscous and nonviscous Hamilton-Jacobi equations, in the periodic and in the stationary ergodic...

A variational approach to topological defects in materials science

Abstract: Topological defects in condensed matter systems are, loosely speaking, localised structures - carrying a topological invariant - where the typical order of the system is broken. In this...

On the Zilber-Pink conjecture for complex abelian varieties and distinguished categories

The Zilber-Pink conjecture is a very general statement that implies many well-known results in diophantine geometry, e.g., Manin-Mumford, Mordell-Lang, André-Oort and Falting's Theorem. It explains th...

A.I. Fakes you: Riflessioni su entropia, irreversibilità e intelligenza artificiale

Essere o non essere? vero o falso? creatività o plagio? opera originale o copia? Lo sviluppo di nuovi modelli di Intelligenza Artificiale Generativa ci pone quotidianamente difronte a ‘dati sintetici’...

Mean-Field sparse optimal control of systems with additive white noise

We analyze the problem of controlling a multiagent system with additive white noise through parsimonious interventions on a selected subset of the agents (leaders). For such a controlled system with a...

The scaling limit of boundary spin correlations in non-integrable Ising models

Abstract: We consider a class of non-integrable planar Ising models obtained by perturbing the nearest-neighbor model via a weak, finite range potential which preserves translation and spin-flip symme...

Verso la classificazione delle varietà log-omogenee

Le varietà log-omogenee sono state introdotte da Brion nel 2007, come generalizzazione delle varietà algebriche complesse omogenee complete. Queste ultime sono descritte dal Teorema di Borel-Remmert c...

Ciclo Seminari di Algebra e Geometria

Organizzatori: Francesco Bei, Paolo Bravi.SAPIENZA Università di RomaOgni mercoledì dalle 14:00 alle 15:00LInk al sito esterno: https://sites.google.com/uniroma1.it/sag/ ...