As I mentioned before, this term Pablo Parrilo, David Steurer, Pravesh Kothari, and I are teaching two sister seminars at Harvard/MIT and Princeton on the Sum of Squares algorithm. See the website http://sumofsquares.org for details, lecture notes, as well as links to lecture videos and how to sign up to follow the course on Piazza.
But, if you want the short, in-person, better weather version, you might want to sign up for the winter Course David Steurer and I will teach on this topic January 4-7 2017 in UC San Diego.
We hope to touch on how the sos algorithm interacts with questions in computational complexity, approximation algorithms, machine learning, quantum information theory, extremal combinatorics, and more.
Windows On Theory 