Top-level heading

Incontro Scientifico UMI di Roma

Incontro organizzato nell'ambito degli "Incontri scientifici UMI 2025-2027", in collaborazione con il Dipartimento di Matematica Guido Castelnuovo dell'Università Sapienza di Roma. Programma: 15:10-1...

Γ-Expansion of the Cahn-Hilliard Functional with Dirichlet boundary conditions

In this talk, we present the second-order asymptotic development of the Cahn-Hilliard functional under Dirichlet boundary conditions via Γ-convergence. We begin by reviewing results from the literatur...

Relaxation schemes for multi-scale hyperbolic problems

Multi-scale problems are omnipresent in environmental and industrial processes, posing a challenge to classical numerical solvers given that the propagation speeds of information span several orders o...

Extremals for Poincaré-Sobolev sharp constants in Steiner symmetric sets

We prove existence of minimizers for the sharp Poincaré-Sobolev constant in general Steiner symmetric sets, in the subcritical and superhomogeneous regime. The sets considered are not necessarily boun...

IV Workshop UMI: Mathematics for Artificial Intelligence and Machine Learning

The workshop focuses on the interplay between mathematics, artificial intelligence and machine learning. The aim of the event is to encourage mathematical research in these areas, to promote the disse...

Global positroid varieties

Positroid varieties are certain subvarieties of complex Grassmannians playing an important role in the theory of totally nonnegative Grassmannians. The positroid varieties can be defined in Lie theore...

Singularities and generalized Hamiltonian gradient flow: From dynamics to transport

We will begin by reviewing classical results in the dynamics of Lagrangian flows, primarily within the framework of Aubry-Mather theory and weak KAM theory. From the perspective of transport, the regu...

Can one hear the conformal class of a surface?

We present some recent results on the first eigenvalue of the magnetic Laplacian associated with closed potential 1-forms on compact Riemannian surfaces. We introduce some (conformal) spectral invaria...

Liouville results for (p,q)-Laplacian elliptic equations with gradient terms

In this talk, I will present recent results obtained jointly with Mousomi Bhakta and Anup Biswas (IISER Pune, India) on Liouville-type theorems for a class of nonhomogeneous quasilinear elliptic equat...

Advances in solving nonlinear Schrödinger Equations with general potentials

We will present some recent results on the existence of a positive solution to nonlinear Schrödinger equations $$-\Delta u+V(x)u=f(u)\mbox{ in }\mathbb{R}^N, $$ for very general potentials $V$, with p...

Representation Theory and Combinatorics

Program:09:30 - 10:30 Claudio Procesi The Embedding Problem for Cayley - Hamilton Algebras 10:30 - 11:00 Coffee Break11:00 - 12:00 Andrea Maffei Completions of Tensor Products12:00 - 13:00 Fabio Gavar...