U.S.-Mexico Workshop: Holomorphic Dynamics on the Riemann Sphere; May 23-26, 2007, Zacatecas, Mexico

这一美洲计划奖将支持美国和墨西哥于2007年5月23日至5月26日在墨西哥萨卡特卡斯举行的关于全息动力学的联合研讨会。研讨会将由印第安纳大学-普渡大学(IUPUI)的Rodrigo A.Perez和罗德岛大学(URI)的Araceli Medina-Bonifant组织，墨西哥方面将由墨西哥瓜纳华托数学研究中心(CIMAT)的Monica Moreno-Rocha组织。研讨会将在美国数学学会和墨西哥数学学会联合会议的背景下举行。这次研讨会将致力于纪念该领域的先驱阿德里安·杜阿迪，并将把他最亲密的合作者、学生和来自两国的朋友聚集在一起。全纯动力学汇集了不同的数学领域，如复分析、代数几何、组合学和概率论。该领域在20世纪80年代初随着A.Douady和J.Hubbard在多项式动力学方面的工作而蓬勃发展，并从那时起一直是一个活跃的研究领域。研讨会将讨论由Douady和Hubbard最近提出的一些长期存在的问题的解决方案所产生的新的研究方向。研讨会期间汇编的问题清单的公布将是会议的直接成果。此外，研讨会将使美国研究生接触到目前全纯动力学的研究。这次研讨会由数学科学部和美国国家科学基金会国际科学与工程办公室共同支持。

This Americas Program award will support a joint U.S./Mexico workshop on Holomorphic Dynamics to be held from May 23 to May 26, 2007 in Zacatecas, Mexico. The workshop will be organized on the U.S. side by Rodrigo A. Perez of Indiana University-Purdue University (IUPUI) and Araceli Medina-Bonifant of the University of Rhode Island (URI), and, and on the Mexican side, by Monica Moreno-Rocha of the Center for Mathematical Research (CIMAT) in Guanajuato, Mexico. The workshop will take place within the context of a joint meeting of the American Mathematical Society and the Sociedad Matematica Mexicana.This workshop will be dedicated to the memory of Adrien Douady, a pioneer in the field,and will bring together many of his closest collaborators, students, and friends from both countries. Holomorphic Dynamics brings together diverse areas of mathematics such as complex analysis, algebraic geometry, combinatorics and probability. The field blossomed in the early 1980s with the work of A. Douady and J. Hubbard on polynomial dynamics, and has been an active area of research ever since.The workshop will involve discussions of new research directions stemming from the recent solution of some long-standing problems proposed by Douady and Hubbard. Publication of a problem list compiled during the workshop will be a direct outcome of the meeting. In addition, the workshop will expose U.S. graduate students to current research in holomorphic dynamics. This workshop is being jointly supported by the Division of Mathematical Sciences and the Office of International Science and Engineering of NSF.