4 problems

Indicator-dimension conjecture. The indicator-dimension of any real or discrete polyhedral group $Q$ equals the rank of $Q$ as a free module, over the field $\mathbb{R}$ or the gro…

Finite minimal resolution conjecture. Every tame module $M$ over a discrete polyhedral group $Q$ has finite minimal downset and upset resolutions of the corresponding type.

Finite dense resolution conjecture. Every tame, semialgebraic, or PL module $M$ over a real polyhedral group $Q$ has finite dense downset and upset resolutions of the corresponding…

Indicator-dimension conjecture. The indicator-dimension of $Q$ equals the rank of $Q$ as a free module over the field $\mathbb{R}$ in the real case or the group $\mathbb{Z}$ in the…