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

该美洲计划奖将支持美国/ 2007年5月23日至5月26日在墨西哥萨卡特卡斯举行墨西哥全纯动力学讲习班。该研讨会将由Rodrigo A.印第安纳州大学-普渡大学（IUPUI）的Perez和罗得岛大学（URI）的Araceli Medina-Bonifant，以及墨西哥瓜纳华托数学研究中心（CIMAT）的Monica Moreno-Rocha。该研讨会将在美国数学学会和墨西哥数学学会的联合会议上举行。该研讨会将致力于纪念该领域的先驱Adrien Douady，并将汇集来自两国的许多最亲密的合作者，学生和朋友。全纯动力学汇集了数学的不同领域，如复分析，代数几何，组合数学和概率。该领域在20世纪80年代初随着A. Douady和J. Hubbard关于多项式动力学的研究，从那时起一直是一个活跃的研究领域。研讨会将讨论Douady和Hubbard提出的一些长期问题的最新解决方案所产生的新研究方向。讲习班期间汇编的问题清单将是会议的一个直接成果。 此外，该研讨会将使美国研究生了解全纯动力学的最新研究。该研讨会由数学科学部和NSF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.