Workshop on Recent Advances in General Topology, Dimension Theory, Continuum Theory and Dynamical Systems

一般拓扑、维度理论、连续介质理论和动力系统最新进展研讨会

• 批准号: 1212436
• 负责人: John Mayer
• 金额: $ 2.31万
• 依托单位: University of Alabama at Birmingham
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 2012
• 资助国家: 美国
• 起止时间: 2012-04-15 至 2014-03-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=1212436&HistoricalAwards=false
• 关键词: Workshop; Recent; Advances; General; Topology

Workshop on Recent Advances in General Topology, Dimension Theory, Continuum Theory and Dynamical Systems Nipissing University, North Bay, Ontario will offer a Workshop on Recent Advances in General Topology, Dimension Theory, Continuum Theory, and Dynamical Systems in order to bring senior and junior researchers and students in these areas together for a five-day series of talks and seminars. The workshop will be held at Nipissing University campus in North Bay, May 17-22, 2012. It will be jointly supported by the National Science Foundation and the Fields Institute of Canada. The scientific focus of the workshop will be on recent advances in topology, including dimension theory and continuum theory, and dynamical systems. Senior researchers will share fundamental research techniques and recent results with attendees, including post-doctoral, graduate and advanced undergraduate students, and junior researchers who received the PhD within the last 6 years. Among other topics, recent results on the topology of buried points in Julia sets, the solution of Lelek's problem on the span of continua, and extending isotopies of plane continua, all of which have application in both topology and dynamical systems, will be discussed. Dynamical systems uses tools from many areas of mathematics, and motivates these same areas by raising questions, both fundamental and applied. In the workshop, students and junior researchers, whose focus on the way to a PhD has necessarily often been narrow, will be exposed to research techniques and results that draw from multiple sources. The areas of topology, dimension theory, and dynamical systems traditionally have experienced overlapping research interests, but it is somewhat daunting for students to acquire the background needed to work in the overlap. NSF support will enable at least 10 US-based students and junior researchers to attend the workshop and expand their research horizons. Major speakers with international reputations are being selected who are active in these research areas. The format of the workshop is designed to maximize the opportunities for interaction among the participants beyond the lectures. Time is provided in the workshop schedule for both formal talks and informal interactions among the junior and senior participants, including every afternoon an informal question and answer session for the students and junior researchers with the day's speakers. The links formed are likely to have continuing impact on the research direction of both junior and senior participants. url: http://www.nipissingu.ca/topology

在一般拓扑学，维数理论，连续统理论和动力系统的最新进展研讨会Nipissing大学，北湾，安大略将提供一个在一般拓扑学，维数理论，连续统理论和动力系统的最新进展研讨会，以使高级和初级研究人员和学生在这些领域在一起为期五天的一系列会谈和研讨会。研讨会将于2012年5月17日至22日在北湾的尼皮辛大学校园举行。 它将由国家科学基金会和加拿大菲尔兹研究所共同支持。 研讨会的科学重点将是拓扑学的最新进展，包括维数理论和连续统理论，以及动力系统。 高级研究人员将与与会者分享基础研究技术和最新成果，包括博士后，研究生和高级本科生，以及在过去6年内获得博士学位的初级研究人员。 除其他议题外，最近的结果拓扑结构的埋点在朱莉娅集，解决Lelek的问题的跨度连续，并扩大同位素的平面连续，所有这些都有应用在拓扑结构和动力系统，将进行讨论。动力系统使用来自数学许多领域的工具，并通过提出基本和应用问题来激励这些相同的领域。 在研讨会上，学生和初级研究人员，他们对博士学位的关注往往是狭隘的，将接触到研究技术和结果，从多个来源。 拓扑学，维理论和动力系统的领域传统上经历了重叠的研究兴趣，但对于学生来说，要获得在重叠中工作所需的背景知识有点令人生畏。 NSF的支持将使至少10名美国学生和初级研究人员参加研讨会，并扩大他们的研究视野。 正在挑选在这些研究领域活跃的具有国际声誉的主要发言人。 讲习班的形式旨在最大限度地增加参加者在讲座之外进行互动的机会。 研讨会时间表中为初级和高级参与者之间的正式会谈和非正式互动提供了时间，包括每天下午为学生和初级研究人员与当天的发言者进行非正式问答。所形成的联系可能会对初级和高级参与者的研究方向产生持续的影响。网址：http://www.nipissingu.ca/topology