Conferences  >  Physics  >  Thermodynamics, Fluid Dynamics and Statistical Physics

Institute for Computational and Experimental Research in Mathematics (ICERM)

Given an incidence structure, one may model a variety of geometric problems. This Semester Program will revolve around two fundamental examples and their applications to modern challenges in the study, analysis, and design of materials. (1) Packings and patterns of circles where the underlying combinatorics are mixed with advanced geometric concepts and strong links are made to discrete differential geometry. (2) The rigidity and flexibility of bar-joint structures where real algebraic geometry is intertwined with sparse graph theory and matroidal techniques. A prime objective of the program is to advance the applicability of these topics to fundamental applications, most notably in statistical physics and materials science.

The program will integrate diverse fields of discrete mathematics, geometry, theoretical computer science, mathematical biology, and statistical and soft matter physics. Various workshops will be designed to attract both theoretical and applied practitioners and to stimulate the cross-fertilization of ideas between these disparate communities.

ICERM;     Email: info@icerm.brown.edu

Geometry and Topology,    Metallurgy and Materials Science

Mathematisches Forschungsinstitut Oberwolfach (MFO, Oberwolfach Research Institute for Mathematics)

Mathematisches Forschungsinstitut Oberwolfach (MFO, Oberwolfach Research Institute for Mathematics)

The International Centre for Mathematical Sciences (ICMS)

Recent mathematical breakthroughs have advanced our understanding of how fluids mix advected quantities like passive dyes and active densities. These discoveries impact statistical turbulence laws, dissipation enhancement, hydrodynamic stability, and convection processes. This one-week workshop will focus on rigorous mathematical findings, physical aspects of fluid mixing, and computational approaches, by bringing together several experts and future leaders in these fields.

Applied Mathematics (in general),    Computational Physics and Numerical Simulation

Erwin Schrödinger International Institute for Mathematics and Physics (ESI)

The rigorous mathematical analysis of many-body systems in quantum mechanics has been an important subdiscipline of Mathematical Physics for many decades, and has led to numerous fruitful connections between various aspects of physics and mathematics. The goal of this workshop is to bring together the key players in this and adjacent fields, to discuss the current state-of-the-art as well as possible future directions. We will also use the occasion of the workshop to honor the achievements of Jakob Yngvason, who will celebrate his 80th birthday in 2025.

Mathematical Physics,    Quantum Mechanics and Quantum Technology

Erwin Schrödinger International Institute for Mathematics and Physics (ESI)

Mathematical Physics,    Courses and Events for Physics Students