I made a poster titled The word problem and one-relator groups (NB: 2.5 MB TIFF file, or click thumbnail below for 740 KB JPEG). It outlines a project in which I verified that a problem suggested by Myasnikov, Ushakov and Won has a positive answer for many small cases. My paper with Daniel Woodhouse shows that the answer is false in general.
There's also a poster corresponding to an old version of the paper Finite groups of arbitrary deficiency (a 3.0 MB PDF file, or 700 KB JPEG linked from thumbnail). The new version avoids the spectral sequence computation.