3 problems

Finite homological dimension conjecture. The following two conditions are equivalent: (1) the algebra $\mathcal{A}_lambda$ has finite homological dimension; (2) derived localizatio…

Let $X\rightarrow Y$ be a symplectic resolution. Set … Let $H_i$ be the hyperplanes where derived localization does not hold, let $V_{\mathbb{R}}^0$ be their complement, and set…

Let $X$ be a symplectic resolution, let $\mathfrak{A}$ be its universal quantization, and let $\mathcal{A}_\lambda$ be the specialized algebra of global sections. McGerty–Nevins lo…