5 problems

Let $M$ be a symplectic $C^\infty$-manifold or an affine complex algebraic variety, let $G$ be a finite group acting on $M$ by symplectic transformations, and let $B$ be a $G$-equi…

Let $B$ be a non-commutative algebra generated by $n$ degree-one elements with $r$ homogeneous quadratic relations; this is an algebra of type $(n,r)$. For a power series…

Let $G < \operatorname{GL}(2, \mathbb{C})$ be a nonabelian finite subgroup and let $R=\mathbb{C}\llbracket x,y\rrbracket^G$. A finite-dimensional local $\mathbb{C}$-algebra is an a…

Bispectral algebra conjecture. The algebra of all such $\Theta(x)$ is the algebra of polynomials

Tikaradze's analogue of the Kac–Weisfeiler conjecture. Suppose that $A$ is a nonnegatively filtered $\bold{k}$-algebra such that $\operatorname{gr} A$ is a finitely generated commu…