4 problems

Let $X$ be a smooth projective variety equipped with an algebraic $T_\mathbb{C}$-action, and let $Y$ be a smooth GIT quotient of $X$ without orbifold singularities. Let…

Let $V//G$ be a GIT quotient satisfying the source's mild hypotheses, including that the $G$-unstable locus has codimension two. Let $T_G$ be a maximal torus of $G$, let $W$ be its…

Ciocan-Fontanine–Kim–Sabbah conjecture. For $\alpha,\alpha',\zeta,\zeta'$ as above,

Let $E\to E\sslash \textbf{G}$ be the GIT quotient in the paper, let $H^*(E\sslash \textbf{G},\Lambda)$ be its cohomology with coefficient ring $\Lambda$, and let…