Ramanujan Auditorium

Primes, Polignac, Polymath

Gergely HARCOS

In 2013 Yitang Zhang proved the sensational result that the difference between neighboring primes does not tend to infinity. In fact he proved that the difference is at most 70 million infinitely often. Currently we know the same result with 246 instead of 70 million, thanks to the efforts of James Maynard, J\'anos Pintz, Terence Tao, and other members of the Polymath8 research group.

The lecture will show some highlights of this fascinating story, without assuming any preliminary knowledge in the subject.