4 problems

Let $\mathcal G$ be a simple complex Lie group equipped with a factorizable Lie bialgebra structure, and let $T=(\Gamma_1,\Gamma_2,\gamma)$ be a Belavin–Drinfeld triple for its tan…

Let $\mathcal G$ be a simple complex Lie group equipped with a factorizable Poisson–Lie structure arising from a classical $r$-matrix, that is, a solution of the classical Yang–Bax…

Belavin–Drinfeld cluster-structure conjecture. For any Belavin–Drinfeld triple $T=(\Gamma_1,\Gamma_2,\gamma)$ there exists a cluster structure $({\mathcal C}_T,\varphi_T)$ on…

Parallel-classification conjecture. There exists a classification of regular cluster structures on ${\mathcal G}$ that is completely parallel to the Belavin–Drinfeld classification…