Thursday, November 14, 2013
Mathematics Colloquium
4:00 pm in 314 Altgeld Hall, Thursday, November 14, 2013
Yitang Zhang (University of New Hampshire)
Bounded gaps between primes
Abstract: The proof of the existence of infinitely many pairs of primes whose gaps are bounded by a constant consists of two aspects: The GPY sieve is applied for the main term and a stronger version of the Bombieri-Vinogradov theorem is applied to bound the error term. In this talk, we first briefly recall the history, then we describe the new idea which applies to the main and error terms equally, and eventually leads to a solution to the problem. We also discuss potential application of the method to other problems |
