Workshop Announcement: ---------------------------------------------------------------- The uniform boundedness conjecture in arithmetic dynamics ---------------------------------------------------------------- January 14 to January 18, 2008 American Institute of Mathematics Research Conference Center Palo Alto, California http://aimath.org/ARCC/workshops/arithdynamics.html ------------ Description: ------------ This workshop, sponsored by AIM and the NSF, will be devoted to arithmetic properties of preperiodic points for morphisms on projective space. The hope is to create new approaches to the study of arithmetic properties of periodic and preperiodic points for (quadratic) polynomials, for one-dimensional rational maps, and for projective morphisms of higher dimension. A specific goal of the workshop is to develop tools and a strategy for proving the first (highly) nontrivial case of the uniform boundedness conjecture in dynamics, namely for quadratic polynomials in one variable over Q. The workshop is organized by Matthew Baker, Robert Benedetto, Liang-Chung Hsia, and Joseph H. Silverman. For more details please see the workshop announcement page: http://aimath.org/ARCC/workshops/arithdynamics.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 September 1, 2007. 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, please visit http://www.aimath.org/research/