6 problems

Degree-bound conjecture. The algebra $\mathcal E_n\langle X,Y\rangle$ should be spanned, as a module over the ring of invariants, by monomials of degree

Uniqueness conjecture. Solutions to in $\mathcal M$ satisfying the displayed pointwise bound are unique.

Let $G$ be a reductive group acting on a complex manifold $Y$. Assume that $Y$ is $G$-Oka and let $X$ be a Stein $G$-manifold. The $G$-homotopy Runge property is the equivariant an…

Let $G$ be a reductive complex Lie group acting on a Stein manifold $X$ and on a complex manifold $Y$. Suppose that $Y$ is $G$-Oka, meaning that it has the equivariant Oka property…

Let $A$ be a unital $C^*$-algebra with a free action of $\mathbb{Z}/2\mathbb{Z}$. Its unreduced suspension is … The action extends to $\Sigma A$ by…

Projection-map conjecture. These projection maps are homotopy equivalences. This conjecture concerns the topology of spaces of equivariant algebraic maps between real projective sp…