Workshop Announcement: ---------------------------------------------------------------- The Caccetta-Haggkvist conjecture ---------------------------------------------------------------- January 30 to February 3, 2006 American Institute of Mathematics Research Conference Center Palo Alto, California http://aimath.org/ARCC/workshops/caccetta.html ------------ Description: ------------ This workshop, sponsored by AIM and the NSF, will focus on the Caccetta-Haggkvist conjecture, which in its simplest form asserts the following: If G is an n-vertex directed graph with minimum outdegree at least n/k, then G has a directed cycle of length at most k. This has a number of variants and strengthenings, and in particular it has numerous connections with additive number theory. The workshop aims to clarify and develop these variants, and to bring together people working on different aspects of the conjecture in the hope of finding a solution. The workshop is organized by Maria Chudnovsky, Matt Devos, Paul Seymour, and Robin Thomas. For more details please see the workshop announcement page: http://aimath.org/ARCC/workshops/caccetta.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 October 30, 2005. 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) 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/