in 1999, david aldous conjectured that a certain natural 'random walk' on the space of binary combinatorial trees should have a continuum analogue, which would be a diffusion on the gromov-hausdorff space of continuum trees. this talk discusses ongoing work by f-pal-rizzolo-winkel that has recently verified this conjecture with a path-wise construction of the diffusion. this construction combines our work on dynamics of certain projections of the combinatorial tree-valued random walk with our previous construction of interval-partition-valued diffusions.