4 problems

For $K\rrbracketin\mathbb{R}$ and $N\in\mathbb{N}$, let an $\operatorname{RCD}(K,N+\varepsilon)$ space mean a metric-measure space satisfying the RCD condition with parameters…

Infranilmanifold global rigidity conjecture. All irreducible Anosov genuine $\mathbb{Z}^r$-actions on compact infranilmanifolds should be $C^\infty$-conjugate to actions by affine…

Let $M$ be an infranilmanifold, let $\alpha_0$ be a totally non-symplectic $\mathbb{Z}^k$ action by automorphisms of $M$, and let $\alpha$ be an action with homotopy data…

Let $N$ be a simply connected nilpotent Lie group, let $A$ be a group of affine transformations acting freely with a finite-index translation subgroup that is a lattice in $N$, and…