American Institute of Mathematics, Palo Alto, California
John Friedlander, Dan Goldston, and Soundararajan
The workshop will discuss the ideas behind these breakthrough results, and explore possible applications to other problems. The classical Bombieri-Vinogradov theorem has numerous pplications, and one may hope that the partial extension of Zhang will also have more consequences. Likewise, the Selberg sieve is ubiquitous in number theory, and it would be worth exploring the flexibility of the weights in Maynard's work. Another natural focus of the workshop will be on obtaining sharper versions of the results of Zhang and Maynard, taking into account the subsequent improvements by Polymath and perhaps others, and on understanding the limitations of these methods. The workshop will bring together senior researchers in analytic number theory, sieve methods, additive combinatorics, together with many promising young researchers in these and related areas.
The workshop schedule.
A report on the workshop activities.