I shall continue from where I left off last time. Particular topics I intend to cover in some detail are:

• peakword condensation and its uses to find submodule lattices (here we generalise from an idempotent e – satisfying vee = ve for all v in V – to a word w merely satisfying Vww = Vw);
• direct condensation without writing down the permutations;
• the trace equation and other methods of calculating character values directly from condensed modules.

The talk will of necessity be rather more technical than the first one.