3 problems

Let $L_n$ be the quadratic Lie algebra generated by the elements $\mu_{ijk}$, and let $U_n=U(L_n)$ be its universal enveloping algebra. Freeness conjecture. The $\mathbb{Z}$-module…

Let $M$ and $X$ be the spaces in the paper, let $p$ be the prime under consideration, and let $k$ be as above. Write $t_p^i(M)$ for the exponent of the $p$-primary torsion in…

Qin–Wang's integrality conjecture. The operator $\frac{1}{2}\mathfrak{q}_1(b)^2-\frac{1}{2}\mathfrak{q}_2(b)$ is integral for every $b\in H^2(A,\mathbb{Z})$, without requiring $b$…