Polynomial patterns in the primes.
Blog links:
Concatenation theorems for anti-Gowers uniform functions and Host-Kra characteristic factors, Polynomial patterns in primes« What’s new [What’s new@terrytao.wordpress.com/2016]
Online Videos:
Concatenating cubic structure [IAS-Analysis and Beyond - Celebrating Jean Bourgain's Work and Impact, 2016]
Concatenations of ergodic and combinatorial uniformity norms [2nd Workshop on Combinatorics, Number Theory and Dynamical Systems, Rio 2015]