2 problems

Zaitsev's conjecture. 1-jets suffice to determine all local automorphisms of $M$, except when $M$ is biholomorphic to the sphere at a generic point, which is the case of $S_k$.

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.…