2 problems

Let $\mathcal E$ denote the class of existentially closed II$_1$ factors. A Cartan subalgebra is a maximal abelian subalgebra whose normalizer generates the factor. Cartan-free con…

Premet's conjecture. There exists a nonempty Zariski open subset $V\subseteq{\mathfrak g}$ consisting of regular elements such that, for any $u,v\in V$, the Cartan subalgebras