3 problems

Projective compactification no-retraction conjecture. Every projective $\Gamma$-compactification with non-trivial boundary $X$ is non-Dirac. In particular, there does not exist a r…

Let $G^1$ be the relevant component, let $\overline{G^1}^{ss}$ be its semistable locus, and let $S'$ be the simple perverse sheaf on $\overline{G^1}^{ss}$ obtained from the semisim…

Let $G$ be a reductive group, let $\bar{G}$ be its compactification, and let $S$ be the character sheaf on $G$ whose alternating-sum character detects semisimple elements. Let…