Roger Heath-Brown FRS
This will be a low-brow talk about some of the classical problems in the theory of prime numbers, and the progress that has been made in the recent (and not-so-recent) past. The prime numbers form a well-defined, deterministic, sequence. Yet they seem best to be described statistically. This makes their properties easy to guess, but hard to prove. Nonetheless there have been some remarkable successes in the past few years.