3 problems

Drutu–Nowak conjecture. The map $\mu_c$ is not surjective for $\mathcal O_\Gamma M$. The conjecture makes precise Roe’s proposed use of warped cones to produce counterexamples to t…

The warped-cone assembly conjecture. The coarse assembly map is not surjective for the warped cone $X=\mathcal{O}_G M$. This would provide a geometric obstruction to the coarse Bau…

A warped cone is the metric space associated to an action of a finitely generated group $G$ on a compact metric probability space $M$ as above; when the action has a spectral gap,…