4 problems

Let $V$ be a finite-dimensional vector space, let $x_i$ be coordinates corresponding to a basis of $V^*$, and let $R_{ij}(\bbar{hbar})$ be the formal series defining the PBW algebr…

Let $F$ be a field containing a primitive $p$th root of unity, and let $G_F$ be its absolute Galois group. The algebra $H^\bullet(G_F,\mathbb{F}_p)$ is a graded mod-$p$ cohomology…

Domain–twisted-potential conjecture. The algebra $A$ is a domain if and only if it is twisted potential.

Let $\bbar{V}$ be a finite-dimensional vector space, let $\bbar{S}(V)\bbar{\bmathbb{C}}[[\hbar]]$ carry the Kontsevich star product associated with a polynomial Poisson bivector…