The configuration space of at-most n points on the circle

A research talk at the 8th Symposium on Nonlinear Analysis, at Nicolaus Copernicus University in Torun, Poland, June 20, 2024. This is preliminary work together with Daciberg Goncalves.
This is mostly the same material as a talk from 6 months earlier, but it's been totally reworked: • Thoughts on configurat...
Probably hard to follow for nonexperts, but some nice pictures throughout.

[@BillRicker]

interesting stuff. Topology is weird but beautiful. "identifying all extreme simplices and all non-extreme simplices", that even seems vaguely reasonable. (several decades ago i had an officemate whose ABD thesis was built on simplices and integrating a function that only had support over a narrow chain of such -- fundamental maths for CAT scanning, IIRC; in N dimensions, the narrow chain of support was nearly vanishingly small so naive monte carlo integrtion just did NOT work, massive underflows! -- Walter was one of the few folks i know whose ABD was eventually completed for a PhD/DWhatever. The other is my mother; she had excellent institutional support to keep working on it, as her School District needed her to upgrade to cover their licensure requirements.)