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

关于一般拓扑，维度理论，连续理论和动态系统的最新进展研讨会，安大略省北湾大学将提供有关一般拓扑，维度理论，连续性理论和动力系统的最新进展的讲习班，以便将这些领域的高级和初级研究人员和学生融合在一起，以便将这些领域的研究人员和学生融合在一起，以便为期五天的谈话和Enicinars和Emininars的谈话。该研讨会将于2012年5月17日至22日在北湾的尼皮辛大学校园举行。 研讨会的科学重点将放在拓扑的最新进展上，包括维度理论和连续性理论以及动态系统。 高级研究人员将与包括博士后，研究生和高级本科生在内的与会者分享基本的研究技术和最新成绩，以及在过去6年中获得博士学位的初级研究人员。 除其他主题外，还将讨论莱利亚集合中埋葬点的拓扑结构，莱勒克在连续图的范围内解决问题的解决方案，以及平面连续图的扩展同位素（所有这些都在拓扑和动力学系统中都有应用）。动态系统使用了许多数学领域的工具，并通过提出基本和应用的问题来激发这些相同的领域。 在研讨会中，专注于博士学位的学生和初级研究人员通常会经常狭窄，这将暴露于从多个来源中获取的研究技术和结果。 传统上，拓扑，维度理论和动力学系统的领域经历了重叠的研究兴趣，但是学生获得重叠所需的背景是有些艰巨的。 NSF的支持将使至少10位美国的学生和初级研究人员能够参加研讨会并扩大研究视野。 在这些研究领域活跃的具有国际声誉的主要演讲者。 研讨会的格式旨在最大程度地利用演讲之外的参与者之间的互动机会。 在研讨会的时间表中提供了时间，包括初级和高级参与者之间的正式会谈和非正式互动，包括每天的下午为学生和初级研究人员与当天的演讲者一起进行非正式的问答课程。形成的链接可能会对初级和高级参与者的研究方向产生持续影响。 URL：http：//www.nipissingu.ca/topology