Lie-Poisson methods for incompressible magnetohydrodynamics on the sphere [part of Workshop]

Abstract: We present a novel structure preserving numerical method for Lie-Poisson systems on the dual of semidirect product Lie algebras. The method preserves the underlying geometry, namely the Lie-Poisson structure and all the Casimirs, and nearly preserves the Hamiltonian function. We illustrate the method on two models describing the motion of magnetic fluids, the incompressible magnetohydrodynamics equations and the Alfvén wave turbulence equations. For the latter case, we reveal the formation of large scale quasi-periodic vortex blob dynamics.

computational geometrymachine learningprogramming languagesdifferential geometryinformation theorydata analysis, statistics and probability

Audience: researchers in the topic

Mapping the Interdisciplinary Horizons of AI: Safety, Functional Programming, Information Geometry

Series comments: This year’s event offers a unique opportunity to explore the frontiers of AI and its intersection with other disciplines. Whether you are an experienced researcher or an aspiring practitioner, this event provides a platform for sharing knowledge, fostering collaboration, and gaining valuable insights from experts.

Insightful lectures by: Scott Aaronson (The University of Texas at Austin, USA), Seth Baum (Global Catastrophic Risk Institute, USA, University of Cambridge, UK), Olle Häggström (Chalmers University of Technology and University of Gothenburg, Sweden), Anders Sanberg (Future of Humanity Institute, University of Oxford, UK), Patrik Jansson (Chalmers University of Technology, Sweden), Frank Nielsen (Sony Computer Science Laboratories, Japan), Dmitri Alekseevsky (University of Hradec Králové, Czech Republic), Frédéric Barbaresco (Thales Land and Air Systems, France), Noémie Combe (Max Planck Institute for Mathematics in Sciences, Germany).

In addition, the event will provide participants with the opportunity to present their own research and receive valuable feedback from peers and experts. Contributions, subject to peer review, will also have the chance to be published by Springer Nature.