Additive combinatorics is one of the most exciting areas in mathematics today, involving ideas from number theory, harmonic and functional analysis, ergodic theory, combinatorics, probability theory and discrete geometry. The school will give the background in these areas to help the students begin to appreciate some of the recent spectacular theorems, such as the result of Green and Tao that there are infinitely many k-term arithmetic progressions of primes and Bourgain's bounds on exponential sums.

This school is intended to give to graduate students, postdoctoral fellows and junior faculty an opportunity to participate in these new developments.

The School is supported by CRM, NSERC, NSF, FQRNT, the Clay Foundation and DIMATIA.