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Timelike Ricci bounds in the non-smooth setting: an optimal transport approach

Abstract: Optimal transport tools have been extremely powerful to study Ricci curvature, in particular Ricci lower bounds in the non-smooth setting of metric measure spaces (which can be been as a non...

Recent developments on evolution equations on graph

Abstract: The seminar concerns the study of evolution equations on graphs, motivated by applications in data science and opinion dynamics. We will discuss graph analogues of the continuum nonlocal-int...

Towards unified synthetic curvature bounds for Riemannian and sub-Riemannian geometry

Abstract: The Lott-Sturm-Villani theory of CD(K, N) metric measure spaces satisfying Ricci curvature lower bounds in a synthetic sense via optimal transport, though extremely successful, has been show...

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/ ...

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...

Math after Thesis - Ogni mercoledì

MATH talks - terza edizione a partire dal 5 marzo. Ogni mercoledì ore 13.15 Aula Picone ...

Previsioni ed inferenza: dai dati ed i modelli all'intelligenza artificiale

Si discute la rilevanza dei modelli, i dati ed i metodi dell'intelligenza artificiale nei problemi di previsioni ed inferenza in fisica. Le principali difficoltà nella trattazione di tali problemi son...

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. ...

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...

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...

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...

From charge to spin: Analogies and differences in quantum transport coefficients

Abstract:   We review some recent results from the mathematical theory of quantum transport of charge and spin in insulating crystals. The emphasis will be on transport coefficients, su...