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