3 problems

Let $\mathfrak{g}$ be a finite-dimensional Lie algebra over a field $\mathbb{F}$. Write $\operatorname{Der}(\mathfrak{g})$ for its derivation algebra, let…

Ihara's conjecture. The induced map

Let $F_n$ be the free group of rank $n$, let $\mathcal{L}_n$ be the free Lie algebra associated with the lower central series of $F_n$, and let $\mathrm{Der}^+(\mathcal{L}_n)$ be t…