A PDE perspective on the flat chain conjecture
Analysis of PDEs
2025-11-11 v1
Abstract
This survey summarizes recent progress on the flat chain conjecture, which asserts the equivalence between metric currents and flat chains with finite mass in the Euclidean space. In particular, we focus on recent work showing that the conjecture is equivalent to a Lipschitz regularity estimate for a certain PDE.
Cite
@article{arxiv.2511.06822,
title = {A PDE perspective on the flat chain conjecture},
author = {Andrea Marchese},
journal= {arXiv preprint arXiv:2511.06822},
year = {2025}
}
Comments
Survey for the proceedings of the conference "Winter School in Geometric Measure Theory", Hangzhou, January 2025