In recent years there have been many spectacular advances in analytic number theory on the distribution of prime numbers, expanders in group theory, combinatorics, and in analysis, based on developments in additive combinatorics. Indeed, additive combinatorics has changed the way we study many important subjects in mathematics. This is a workshop on these breakthroughs, from the perspective of a broad array of applications.

Researchers involved in different questions, but using the techniques of additive combinatorics, are invited to participate in this workshop. We expect much more to happen in this exciting area.

This event is being organized as part of the 27th Entretiens Jacques Cartier

Invited Speakers : Emmanuel Breuillard (Paris-Sud)*, Mei-Chu Chang* (UC Riveside), David Conlon (Oxford), Ernie Croot (Georgia Tech), Jacob Fox (MIT), Ben Green* (Oxford), Hamed Hatami (McGill), Harald Helfgott* (ENS-DMA), Kevin Henriot (Montreal/UBC), Nets Katz* (Caltech), Alex Kontorovich (Yale), Bryna Kra (Northwestern), Mel Nathanson (Lehman College), Fernando Shao (Stanford/CRM/Oxford), Jozsef Solymosi (UBC), Endre Szemeredi (Rutgers), Van H. Vu (Yale), Yufei Zhao (MIT)

* To be confirmed