Explore the intricacies of Reed-Solomon Codes and their proximity gaps in this 21-minute IEEE conference talk. Delve into common notations, motivating problems, and the main theorem statement on correlated agreement. Examine error terms and generalizations to different sets. Learn about prior work, applications, and various decoders, including the Berlekamp-Welch decoder. Gain insights from experts Eli Ben-Sasson, Dan Carmon, Yuval Ishai, Swastik Kopparty, and Shubhangi Saraf as they discuss the application of Berlekamp-Welch to w(2) and its implications for Reed-Solomon Codes.