Top-level heading

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...

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/ ...

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...

A Harnack type inequality for singular Liouville type equations

We are concerned with a generalization to the singular case of a result of C.C. Chen e C.S. Lin [Comm. An. Geom. 1998] for Liouville-type equations with rough potentials. The singular problem is actua...

Catalan percolation

In Catalan percolation, one declares the edges {i,i+1}, for integer i, occupied and each edge {i,j} with j> i+1 open independently with probability p. For k> i+1, we recursively define {i,k} to ...

Entropy solutions of scalar nonlocal conservation laws with congestion

In this talk we consider a class of scalar nonlinear models describing crowd dynamics. The congestion term appears in the transport equation in the form of a compactly supported nonlinear mobility fun...

Entropy solutions of scalar nonlocal conservation laws with congestion

Abstract: In this talk we consider a class of scalar nonlinear models describing crowd dynamics. The congestion term appears in the transport equation in the form of a compactly supported nonlinear mo...

Computing Solutions to the Polynomial-Polynomial Regulator Problem

We consider the optimal regulation problem for nonlinear control-affine dynamical systems. Whereas the linear-quadratic regulator (LQR) considers optimal control of a linear system with quadratic cost...

On the rationality of real conic bundles

Deciding whether a given algebraic variety is rational (birational to projective space) is an important problem in algebraic geometry. Over the field of real numbers, this problem is particularly inte...

Variational Problems under topological constraints

Abstract: The seminal work of Brezis-Coron (1983) for 2-dimensional harmonic maps introduces an estimate that leads to the existence of harmonic maps minimizing in different homotopy classes. This had...

Chasing regularization by noise of 3D Navier-Stokes equations

Abstract: Global well-posedness of 3D Navier-Stokes equations (NSEs) is one of the biggest open problems in modern mathematics. A long-standing conjecture in stochastic fluid dynamics suggests th...