4 problems

Let $M$ be an infinite-dimensional isoparametric submanifold in a Hilbert space, or one of its parallel manifolds, and let the setting and hypotheses of Theorem 1 apply, including…

Let $f(t,\theta)$ be an ancient solution to the spherical mean curvature flow for smooth compact hypersurfaces in $S^{n+1}$. Let $A(t,\theta)$ and $H(t,\theta)$ be its shape operat…

Let $f(t,\theta)$ be an ancient solution to the spherical mean curvature flow for smooth compact hypersurfaces in $S^{n+1}$, and let $A(t,\theta)$ and $H(t,\theta)$ denote its shap…

Affine Kac–Moody orbit conjecture. All isoparametric submanifolds of rank at least two in an infinite-dimensional Hilbert space arise as principal orbits of isotropy representation…