Sharing this for anyone who might be interested. Some great speakers on the geometric/mathematical side of general relativity, aimed at students and young researchers.
math.ku.dk/conferences/mathematical-relativity
Depending on one's point of view that might be thought of as the "real" source of the paradox, although paradoxical groups are clearly the more interesting mathematical phenomenon in this whole story
Though you still need the axiom of choice in the process of lifting the paradoxical decomposition from the free group to construct the subsets in the usual statement of the Banach-Tarski paradox
Derivations if you think of them as directional derivatives, equivalence classes of curves if you like to view them as the infinitesimal movement of a particle. For me, vectors in a chart make the most sense in the context of submanifolds to visualize the tangent space as a concrete subspace.
A starter pack for folks interested in #topology, broadly interpreted. There's room for many more on the list, so please reach out!
go.bsky.app/SZRnE9o
I changed my name to @peterrowlett.net using the instructions here bsky.social/about/blog/4...
Excited to be in Rome these weeks for ‘Curvature and Geometric Analysis’ 😉, now off to the workshop! sites.google.com/view/cga-rom...
👋 Hi, I'm Rudi, a mathematician based in Münster, Germany, working at the intersection of geometry and topology. Currently mainly interested in scalar curvature geometry and related topics in relativity.
Looks like it's finally time to try this place out, let's see where it goes! 🦋 #mathsky
