NOTE: The first lecture was not recorded. We are hoping to record it when the course is taught again in the Fall. In the meantime, please check out the course site here http://ocw.mit.edu/18-650F16 where you will find the slides that were used in all of the lectures.
This video is the introduction of Professor Shigeru Miyagawa, the instructor for the MIT course 21G.027 of Fall 2016.