Conferences  >  Mathematics  >  Calculus, Differential Equations and Integration  >  United States

This conference will bring together leading international researchers in spectral theory and mathematical physics to discuss modern developments in the field. It will also be an opportunity to honor Barry Simon and his vast research contributions.

Analysis,    Mathematical Physics

This conference focuses on recent developments in the following major directions: • Partial Differential Equations and Harmonic Analysis • Spectral Theory and Mathematical Physics. Talks will be organized into two parallel sessions.

ICM 2026 Satellite Conference

Rutgers

To celebrate the return of the International Congress of Mathematicians to the United States after a forty-year absence, we propose a satellite conference focusing on the analysis of Partial Differential Equations used to describe the physical world. The scope of the conference covers a broad range of topics, including fluid dynamics, General Relativity, optics and quantum mechanics, all unified by their connection to hyperbolic and dispersive PDEs. We aim to leverage the fantastic research environment of the northeastern USA to attract prominent mathematicians from around the world while also creating opportunities for graduate students and early-career researchers to learn from and engage with leaders in the field.

A satellite conference of the 2026 ICM

Analysis,    Mathematical Physics

ICERM/Brown University

The mathematical description of many-particle systems is a fundamental and challenging problem. At the microscopic level, particle interactions can be modeled with very large systems of ordinary differential equations. This approach can be impractical due to the very large dimension of the systems. Mean field models based on partial differential equations thus arise to describe the collective behavior of a large number of particles. Depending on the spatial and temporal scales, as well as the heterogeneity among particles, PDEs of different types and dimensions emerge. At the mesoscopic level, effective models are kinetic equations - including the Vlasov, Boltzmann, Landau equations - while at the macroscopic level we have continuum equations (for example, the Euler and Navier-Stokes equations). Beyond common mathematical challenges, microscopic, kinetic and fluid equations share a deeper link: Fluid equations can be obtained as a limit in certain asymptotic regimes from kinetic equations which, in turn, can be obtained by limits from microscopic models. This workshop aims at bringing together researchers working in these three connected areas from an analytical and computational perspective. These areas have seen dramatic progress over the last decade, and the methods and problems in each field are becoming highly relevant to the other fields. The meeting will showcase the most recent breakthrough results and promote interactions among communities and cross-pollination of techniques and mathematical methods.

Phone: [4018635030];     Email: info@icerm.brown.edu