5 problems

Let ${\mathcal T}_{3,0}$ be the Teichmuller space of flat $SL_2(\mathbb C)$-connections on a smooth Riemann surface of genus three. Consider the cluster algebra constructed in Sect…

Categoroid equivalence conjecture. There is an equivalence of categoroids between $\textbf{Poiss}^{Ext}$ and $\textbf{RRSGpd}$:

Equivalence conjecture. Any two regular relational symplectic groupoids integrating $M$ are equivalent.

Connectedness conjecture. Theorem 1 holds also when the $s$-fibers are not connected.

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…