Abstract:
It was only recently that the well-known conjecture
that the primes contain arbitrary long arithmetic progressions
had been finally proved. The result is due to Ben Green and
Terence Tao. I shall briefly try to explain how ergodic-theoretic
proof techniques like Furstenberg's Multiple Ergodic Theorem
and Gowers norms were applied there.
The talk is meant to be just a resume of an article
by Bryna Kra, Bull. AMS 43 (p. 3-23).