Mathematical Sciences:NSF/CBMS Regional Conference in Mathematical Sciences-Complex Dynamics in Higher Dimensions; June 13-18, 1994; Albany, New York

数学科学：NSF/CBMS 数学科学区域会议 - 高维复杂动力学；

• 批准号: 9313042
• 负责人: R. Michael Range
• 金额: $ 2.57万
• 依托单位: SUNY at Albany
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 1994
• 资助国家: 美国
• 起止时间: 1994-05-15 至 1994-10-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=9313042&HistoricalAwards=false
• 关键词: Mathematical; Sciences; NSF; CBMS; Regional

9313042 Range Professor John E. Fornaess, a leading international expert in the area of multidimensional complex analysis, will present a series of ten lectures, centering around the behavior of classes of holomorphic self-maps of complex n- dimensional Euclidean spaces and projective spaces. Just as in the one dimensional case - widely known through stunning computer generated visualisations - iteration of such maps in higher dimensions reveals surprising phenomena, and new properties of dynamical systems which need to be understood. While some of the work in dimension two goes back to classical work of Fatou and Bieberbach in the 1920's (Fatou, together with Julia, is one of the pioneers of complex dynamics in dimension one), most of the topics covered in Fornaess' lectures are based on quite recent work. The field is the subject of many current investigations, and there are many open problems. The lectures are intended to make this research area accessible to non-experts in multidimensional complex analysis, and they should help mathematicians new to this field to gain a deeper understanding of the major problems and current directions of research in this new and rapidly expanding research area. The conference will take place June 13 to June 18, 1994, on the campus of the University of Albany, State University of New York. Albany is the center of the Capital District in Upstate New York, a cast region which includes among its many educational institutions the University of Albany, Rensselaer Polytechnic Institute, Union College, Skidmore College and Siena College. Multidimensional complex analysis is an active area of research at the University of Albany, and many experts in classical function theory, ergodic theory and (real) dynamical systems work in the region. A special effort will be made to attract interested participants from neighboring institutions, who may want to enter this research field. It is hoped that this series of lectures will help to build new interactions between mathematicians from the different institutions in the region, and stimulate new research efforts in multidimensional complex analysis in the region.

John E. Fornaess教授是国际上多维复分析领域的权威专家，他将围绕复n维欧几里德空间和射影空间的全纯自映射类的行为进行十场系列讲座。就像在一维的情况下——通过令人惊叹的计算机生成的可视化而广为人知——在高维的这种地图的迭代揭示了令人惊讶的现象，以及需要理解的动力系统的新特性。虽然一些二维的工作可以追溯到20世纪20年代Fatou和Bieberbach的经典工作（Fatou和Julia一起是一维复杂动力学的先驱之一），但Fornaess讲座中涵盖的大多数主题都是基于最近的工作。该领域是当前许多研究的主题，并且存在许多未解决的问题。讲座的目的是使这个研究领域的非专家在多维复杂分析，他们应该帮助新的数学家在这个新的和迅速发展的研究领域获得的主要问题和当前的研究方向有更深的了解。会议将于1994年6月13日至6月18日在纽约州立大学奥尔巴尼大学校园举行。奥尔巴尼是纽约州北部首府区的中心，这是一个包括奥尔巴尼大学、伦斯勒理工学院、联合学院、斯基德莫尔学院和锡耶纳学院在内的众多教育机构的地区。多维复杂分析是奥尔巴尼大学的一个活跃研究领域，许多经典函数理论、遍历理论和（真实）动力系统的专家在该领域工作。将作出特别努力，吸引有意进入这一研究领域的邻近机构的参与者。希望本系列讲座将有助于建立本地区不同机构数学家之间的新互动，并激发本地区在多维复杂分析方面的新研究成果。