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

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安大略省北湾尼皮辛大学将举办一般拓扑、维度理论、连续介质理论和动力系统最新进展研讨会，以便为高年级和初级学员带来一般拓扑、维度理论、连续介质理论和动力系统的最新进展研讨会这些领域的研究人员和学生聚集在一起进行为期五天的系列讲座和研讨会。该研讨会将于2012年5月17日至22日在北湾尼皮辛大学校园举行。研讨会将得到美国国家科学基金会和加拿大菲尔兹研究所的联合支持。 研讨会的科学重点将是拓扑学的最新进展，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、研究生和高年级本科生，以及过去六年内获得博士学位的初级研究人员。 除其他主题外，还将讨论 Julia 集中埋点拓扑的最新结果、连续体跨度上 Lelek 问题的解决方案以及平面连续体的扩展同位素，所有这些都在拓扑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，并通过提出基础和应用问题来推动这些领域的发展。 在研讨会上，学生和初级研究人员对攻读博士学位的关注范围往往很狭窄，但他们将接触到来自多种来源的研究技术和结果。 拓扑、维度理论和动力系统领域传统上经历了重叠的研究兴趣，但对于学生来说，获得在重叠领域工作所需的背景有点令人畏惧。 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并扩大他们的研究视野。 正在挑选活跃在这些研究领域的具有国际声誉的主要演讲者。 研讨会的形式旨在最大限度地增加参与者在讲座之外的互动机会。 研讨会日程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演讲者举行的非正式问答会议。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