Multicorrelation Sequences and Primes

This lecture by the instructor covers multicorrelation sequences and their connection to primes. It delves into self-correlation sequences, positive definite measures, and the decomposition of sequences into nilsequences and nullsequences. The lecture also explores k-multicorrelation sequences, nilsystems, and the inverse limit of nilsystems. Various theorems related to multicorrelation sequences, including results by Furstenberg, Leibman, and Frantzikinakis, are presented. The proof techniques involve decomposition, orthogonal projections, and the transference principle.