4 problems

Let $\mathcal F$ be a singular foliation and suppose its Molino class is defined. Molino regularity conjecture. If the Molino class of $\mathcal F$ vanishes, then $\mathcal F$ is a…

Let $\mathcal F$ be a singular foliation admitting a geometric resolution, and let its isotropy Lie $\infty$-algebra at a point be the corresponding homotopy-theoretic isotropy obj…

Let $\mathcal{F}$ be a complete singular Riemannian foliation, and let $\mathscr{C}_{\mathcal{F}}$ be the locally constant sheaf of Lie algebras associated with its structural theo…

Androu–Zambon conjecture. Not every smooth singular foliation is of this type, not even in a neighborhood of a given point.