3 problems

Volume–Dehn separation conjecture. In Euclidean, spherical, and hyperbolic geometries, do the volume and generalized Dehn invariant separate the scissors congruence classes of poly…

Assume that $F$ is an algebraically closed field. Let $\beta_n(F)$ be the additive higher Bloch module and ${\cal E}_n(F)$ the Euclidean $F$-scissor congruence group. Higher additi…

Let $F$ be an algebraically closed field, and let ${\cal E}_{(n)}^{\ast}(F)$ be the degree-$n$ Euclidean Dehn complex of Euclidean scissor congruence groups. For an $F$-vector spac…