Lecture notes on DKKMS

Mitali Bafna, Chi-Ning Chou, and Zhao Song wrote scribe notes for my lectures on the Dinur et al proof of the 2 to 2 conjecture (see the DKKMS  and KMS papers, though this presentation follows a different, and in my view simpler, approach.)

“Scribe notes” is really an understatement. In a heroic work, Mitali, Chi-Ning and Zhao supplied many more details and proofs (and much better exposition, including figures and comments) than I actually did in my talks.  (One proof is still missing, but hopefully it will be updated in a few weeks or so.)

The notes assume no background in prior works on PCP and unique games, and can be very useful for anyone interested in these recent breakthroughs. As I mentioned before, the reduction itself can be described in about 5 lines. The soundness analysis is unfortunately more complicated…

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