4 problems

Classification conjecture. Every $2$-dimensional Leibniz triple system over $F$ is isomorphic to one of the systems 1–5.

Let $L$ be a solvable Leibniz algebra with a given nilradical, and suppose that the dimension of a complementary space to the nilradical is maximal. Maximal-complement conjecture.…

Let $n\ge 2$, and consider an irreducible component of the variety of $n$-dimensional Leibniz algebras. Vergne–Grunewald–O'Halloran conjecture. Every such irreducible component con…

Let $A$ be an $n$-dimensional nilpotent Leibniz algebra with $n\ge 2$. A degeneration $B\to A$ means that the $n$-dimensional non-nilpotent Leibniz algebra $B$ degenerates to $A$.…