The next talk in the series is here.
This first video begins with some remarks about the running of the course, mainly aimed at Cambridge students taking it in 2020 and of limited interest to anyone else. The second half consists of a few general remarks about combinatorics, which start at 13:30. (Video skipped to this part.)
This video was produced by Tim Gowers as part of his Part III course at the University of Cambridge. Printed notes for this course are available here.