The central objective is to gain a solid understanding of Aurel Page’s advanced course on Arithmetic Groups that will be held at the end of the workshop. During this course, the following topics will be covered: reduction theory, strong approximation, arithmetic manifolds, Hecke operators, equidistribution, etc. We plan to divide this Collaborative Workshop on Arithmetic Groups into four phases.
2026
Mathematical Developments in Geophysical Fluid Dynamics
Geophysical Fluid Dynamics covers a wide range of applications in atmospheric and oceanic sciences with direct connections to the challenges of climate change. Historically studied by physicists and applied mathematicians, rotating fluids have been the subject of many recent results involving the analysis of PDEs. However, exchanges between these communities remain relatively rare and isolated.
Illustration as a Mathematical Research Technique
Mathematical understanding is built in many ways. Among these, illustration has been a companion and tool to research for as long as research has taken place. We use the term illustration to encompass any of the many ways one might bring a mathematical idea into physical form or experience, including computer visualization, 3D printing, and virtual reality, among others. With modern tools, illustration can even make mathematics an experimental science, so that computational results can drive the cycle of problem, conjecture, and proof.