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

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
依托单位国家:
美国
项目类别:
Standard Grant
财政年份:
2012
资助国家:
美国
项目状态:
已结题
起止时间:
2012-04-15 至 2014-03-31

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中文摘要
翻译
关于一般拓扑学、维度理论、连续统理论和动力系统最新进展的研讨会将在安大略省北湾的Nipissing大学举办关于一般拓扑学、维度理论、连续统理论和动力系统最新进展的研讨会,以便将这些领域的高级和初级研究人员和学生聚集在一起,进行为期五天的一系列讲座和研讨会。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联合支持。研讨会的科学重点将放在拓扑学的最新进展上,包括维度理论和连续统理论,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。在其他主题中,将讨论Julia集上埋点的拓扑、连续统范围上Lelek问题的解以及平面连续统的扩展同位素的最新结果,所有这些都在拓扑学和动力系统中都有应用。动力系统使用来自许多数学领域的工具,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将接触到来自多种来源的研究技术和结果,他们在获得博士学位的道路上往往关注的范围很窄。拓扑学、维度理论和动力系统等领域传统上经历了重叠的研究兴趣,但对学生来说,获得在重叠区域工作所需的背景有点令人望而生畏。NSF的支持将使至少10名美国学生和初级研究人员能够参加研讨会,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演讲者。讲习班的形式旨在最大限度地增加学员在讲座之外进行互动的机会。研讨会日程安排为初级和高级参与者之间的正式演讲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举行的非正式问答环节。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
英文摘要
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
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28th Summer Conference on Topology and Its Applications
  • 批准号:
    1309186
  • 项目类别:
    Standard Grant
  • 资助金额:
    $2.45万
  • 财政年份:
    2013
  • 负责人:
    John Mayer
  • 依托单位:
Workshop on Recent Advances in Topological and Measure-Theoretic Methods in Dynamical Systems; North Bay, Ontario
  • 批准号:
    1005910
  • 项目类别:
    Standard Grant
  • 资助金额:
    $2.26万
  • 财政年份:
    2010
  • 负责人:
    John Mayer
  • 依托单位:
Greater Birmingham Mathematics Partnership Phase II Research
  • 批准号:
    0928665
  • 项目类别:
    Standard Grant
  • 资助金额:
    $210.0万
  • 财政年份:
    2009
  • 负责人:
    John Mayer
  • 依托单位:
Workshop on Topology, Analysis, and Dynamical Systems, Ontario, Canada
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