Live blog 2ND AMS-UMI INTERNATIONAL JOINT MEETING – Day 2
From July 23 to July 26, 2024, Università degli Studi di Palermo will host the 2nd International Joint Meeting co-organized by the Unione Matematica Italiana (UMI) and the American Mathematical Society (AMS). The 1st International AMS-UMI Joint Meeting was held from June 12 to June 16 2002 in Pisa.
On these pages every day we will provide live updates from the meeting: photos, short videos, events. This page will be automatically updates (if not it is enough to reload the page). Please, follow us to be updated and also on the UMI social media: Facebook, X (please, if you post some interesting content, use the hashtag #amsumi2024
To be oriented: the official website of the meeting
For more information on the campus, visit the campus map.
At this link you can see what happened yesterday!
09:00 – 10:00 Invited Address Lecture, Lisa Piccirillo (MIT)
Title: Exotic phenomena in 4-manifold topology
Abstract. Renormalization Group can be implemented in certain cases in a mathematically rigorous form, leading to series expansion for physical quantities which are convergent, so excluding non perturbative phenomena, and to take into account lattice or symmetry breaking terms. This approach has recently found several applications, including the non-renormalization properties of the anomalies in QFT with finite cut-off (non perturbative Adler-Bardeen theorem), the universality properties of transport coefficients in interacting Graphene or Hall systems and the issue of localization with quasi-periodic disorder and interaction.
Open problems and perspectives will be also briefly discussed.
10:00 – 11:00 Invited Address Lecture, Vieri Mastropietro (Università degli Studi di Milano)
Title: Rigorous Renormalization Group: advances and perspectives
Abstract. Renormalization Group can be implemented in certain cases in a mathematically rigorous form, leading to series expansion for physical quantities which are convergent, so excluding non perturbative phenomena, and to take into account lattice or symmetry breaking terms. This approach has recently found several applications, including the non-renormalization properties of the anomalies in QFT with finite cut-off (non perturbative Adler-Bardeen theorem), the universality properties of transport coefficients in interacting Graphene or Hall systems and the issue of localization with quasi-periodic disorder and interaction.
Open problems and perspectives will be also briefly discussed.
11:30 – 13:00 Special Sessions
A1, Campi, Mean Field Games and Related Topics
A2, Cattabriga, Knot Theory and Applications
A9, Feo, Functional Inequalities and PDEs
A10, Iuorio, Nonlinear Patterns and Waves in Biological Systems
A14, Marcone, Computability Theory
A15, Mastropietro, Mathematics for Quantum and Statistical Physics
A17, Nakano, Representation Theory: Lie Theory and Geometry
A25, Tortora de Falco, Proof Theory and Theoretical Computer Science
14:30 – 16:30 Special Sessions
A1, Campi, Mean Field Games and Related Topics.
A2, Cattabriga, Knot Theory and Applications.
A6, Daneri, Geometric Variational Models with Nonlocal Energies.
A7, Delizia, Graphs Associated with Groups: Advances and Applications.
A9, Feo, Functional Inequalities and PDEs.
A10, Iuorio, Nonlinear Patterns and Waves in Biological Systems.
A14, Marcone, Computability Theory.
A15, Mastropietro, Mathematics for Quantum and Statistical Physics.
A16, Mendico, Advances in Geometric Control Theory and Subelliptic PDEs.
A17, Nakano, Representation Theory: Lie Theory and Geometry.
A25, Tortora de Falco, Proof Theory and Theoretical Computer Science.
17.00 – 18.00 Special Sessions
A1, Campi, Mean Field Games and Related Topics.
A2, Cattabriga, Knot Theory and Applications.
A6, Daneri, Geometric Variational Models with Nonlocal Energies.
A7, Delizia, Graphs Associated with Groups: Advances and Applications.
A9, Feo, Functional Inequalities and PDEs.
A14, Marcone, Computability Theory.
A15, Mastropietro, Mathematics for Quantum and Statistical Physics.
A16, Mendico, Advances in Geometric Control Theory and Subelliptic PDEs.
A17, Nakano, Representation Theory: Lie Theory and Geometry.
