Workshop Announcement: ---------------------------------------------------------------- Recent Trends in Additive Combinatorics ---------------------------------------------------------------- September 9 to September 12, 2004 American Institute of Mathematics Research Conference Center Palo Alto, California http://aimath.org/ARCC/workshops/additivecomb.html ------------ Description: ------------ This workshop, sponsored by AIM and the NSF, will focus on four inter-related themes: 1. Long arithmetic progressions and the Szemeredi regularity lemma 2. The Erdos-Szemeredi sum-product conjecture, the Erdos distance set problem, and Szemeredi-Trotter type problems in various dimensions and fields. 3. Freiman's inverse theorem and sum-sets 4. The Kakeya conjecture in finite fields, and related problems from harmonic analysis. There have been a number of recent breakthroughs in each of these fields involving new techniques, and goal of the workshop is to popularize these new techniques to people working in the neighboring fields. The workshop is organized by Terry Tao and Van Vu. For more details please see the workshop announcement page: http://aimath.org/ARCC/workshops/additivecomb.html Space and funding is available for a few more participants. If you would like to participate, please apply by filling out the on-line form (available at the link above) no later than June 9, 2004. Applications are open to all, and we especially encourage women, underrepresented minorities, junior mathematicians, and researchers from primarily undergraduate institutions to apply. Before submitting an application, please read the ARCC policies concerning participation and financial support for participants. -------------------------------------- AIM Research Conference Center (ARCC): -------------------------------------- The AIM Research Conference Center (ARCC) will hosts focused workshops in all areas of the mathematical sciences. ARCC focused workshops are distinguished by their emphasis on a specific mathematical goal, such as making progress on a significant unsolved problem, understanding the proof of an important new result, or investigating the convergence between two distinct areas of mathematics. For more information about ARCC, please visit http://www.aimath.org/ARCC/