6 problems

Kontsevich's tangent-map conjecture. The induced map

Kontsevich's invariance conjecture. There should be an isomorphism of algebras

Let $\mathfrak{L}_\lambda$ be the dg Lie algebra formed by the modes of quasi-primary single-trace operators whose linear planar OPE terms and BRST action define the dg-Lie structu…

Let $M_\mathcal{R}$ be the symplectic cluster manifold, let $\mathcal{Y}_\mathcal{R}$ be its mirror, and suppose that all node multiplicities in $\mathcal{R}$ are $1$. Write…

Let $\mathcal{R}$ be a simple eigenray diagram, let $M_{\mathcal{R}}$ be the associated symplectic manifold, and let $\mathcal{Y}_{\mathcal{R}}$ be its proposed non-Archimedean mir…

Let $X$ be an algebraic variety, and let $H^{\bullet}(X, \mathcal{T}_{\mathrm{poly}})$ denote the cohomology of its sheaf of polyvector fields. The Grothendieck–Teichmüller group…