the p-widths of a closed riemannian manifold are a nonlinear analog of the spectrum of its laplace--beltrami operator, which was defined by gromov in the 1980s and correspond to areas of a certain min-max sequence of hypersurfaces. by a recent theorem of liokumovich--marques--neves, the p-widths obey a weyl law, just like eigenvalues do. however, even though eigenvalues are explicitly computable for many manifolds, there had previously not been any ≥ 2-dimensional manifold for which all the p-widths are known. in recent joint work with otis chodosh, we found all p-widths on the round 2-sphere and thus the previously unknown liokumovich--marques--neves weyl law constant in dimension 2.