Transcendence is an upcoming movie, starring Johnny Depp:

Two leading computer scientists work toward their goal of Technological Singularity, as a radical anti-technology organization fights to prevent them from creating a world where computers can transcend the abilities of the human brain.

It could be fun to speculate what the spin will be and how many standard pitfalls they will hit. I also wonder which side I would be rooting for. From the scarce descriptions available, it does not seem to be based on the idea of recursive self-improvement, but rather on mind uploading.