Not schoolwork — the questions that resisted Erdős, Hilbert, and everyone since. The club keeps three shelves: what is still open, what AI recently settled, and what took humanity centuries.
Tagged hyperbolic-geometry — 2 entries. Clear
If a hyperbolic group's boundary looks like a sphere, does the group act on hyperbolic 3-space? Cannon's 1990s conjecture, open in general.
Does the coloured Jones polynomial know the hyperbolic volume of a knot complement? Kashaev's 1997 guess, verified case by case, proved in none in general.
