4 problems

Lie's second theorem. For any morphism of Lie algebroids $\phi:A\to B$, there is a unique morphism $\Phi$ from the Weinstein groupoid $\mathcal{H}(A)$ to any Weinstein groupoid…

Uniqueness conjecture. $\mathcal{H}(A)$ is the unique source-simply connected Weinstein groupoid whose Lie algebroid is $A$.

Modular class conjecture. The modular class measures the obstruction to the existence of a volume form on the differentiable stack associated to the groupoid integrating the Lie al…

Let $P$ be a strongly regular Poisson manifold whose simply connected symplectic leaves are the fibres of a smooth fibration $P\to M$. Assume that the lattice of differentials of p…