4 problems

Let $A$ be a Lie algebroid that admits a proper integrating groupoid $\mathcal{G}$ whose $s$-fibers are $2$-simply connected. Cohomological rigidity conjecture. Then … This conject…

Natural-isomorphism invariance conjecture. The natural isomorphism induces an isomorphism

Double-groupoid van Est conjecture. There is a van Est map from the cohomology of the double Lie groupoid to the cohomology of its LA-groupoid. If differentiation takes place in th…

Conical-singularity conjecture. The zero locus of the momentum section has only conical singularities.