Conference: Cornell Topology

会议：康奈尔拓扑

• 批准号: 2247084
• 负责人: Kathryn Mann
• 金额: $ 7.2万
• 依托单位: Cornell University
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 2023
• 资助国家: 美国
• 起止时间: 2023-04-01 至 2027-03-31
• 项目状态: 未结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=2247084&HistoricalAwards=false
• 关键词: Conference; Cornell; Topology

This award is to support speakers and participants at several meetings of the Cornell Topology Festival, an annual conference at Cornell University, starting with the conference planned for May 5-7, 2023. The conference has been a force in the mathematical life of topologists and geometers in the northeastern United States since 1963, providing an arena for the development and dissemination of a broad array of results from within algebraic, differential, and geometric topology and allied subjects. The activities are designed to encourage mathematical breadth and exchange of ideas between different branches of topology, as well as to welcome early career mathematicians into the field and promote interactions between junior and senior participants. Each year, several of the talks cluster around one significant theme, in order to communicated a recent research development in one subarea to topologists across other areas, and to educate graduate students and early career researchers on a subject of recent interest. Each iteration of the conference starts with a day of introductory talks by early junior speakers, and a colloquium talk on the history of the topic chosen for the main theme. It also includes a lightning session of short talks on exciting new research directions. All of these activities serve to counter recent trends towards increasing specialization, by showcasing developments across inter-related fields at an accessible level. The area of interest for the 2023 conference will be recent developments in the theory of 4-manifolds, a topic with deep connections to geometric, algebraic, and symplectic topology and geometry. About one third of the talks will be on this subject, in order to introduce topologists across sub-disciplines to this area in more detail than obtainable by attending a single talk or mini-course. Possible future themes include: high dimensional negatively curved manifolds, trace methods, and homotopy type theory; although the organizers remain flexible should a new exciting development come to light elsewhere. The remainder of talks at the conference showcase a broad range of recent developments in different areas of topology, selected with a view towards breadth. Additionally, all speakers participate in a “lightning round” consisting of short pitches of recent exciting work by others and speculation on future trends. This gives a forward-looking perspective on new developments and stimulates discussion. The opening introductory day of activities and graduate student talks provides a point of entry for interested non-experts and encourages graduate student involvement. The broader impacts of the activities include a more broadly-trained community of topologists, able to transcend the boundaries of subspecialties; a more diverse mathematical workforce; a more rapid integration of younger topologists into areas of current research; and the enhancement of collaboration among researchers in different areas of topology. The training effects of the conference will be extended by dissemination of lecture notes from the workshops and summaries of the panel discussion and problem session; the main vehicle for this is the conference web site, which has been maintained continuously since 1997.https://e.math.cornell.edu/sites/topology/This award reflects NSF's statutory mission and has been deemed worthy of support through evaluation using the Foundation's intellectual merit and broader impacts review criteria.

该奖项旨在支持康奈尔拓扑学节（Cornell Topology Festival）几次会议的演讲者和参与者。康奈尔拓扑学节是康奈尔大学的年度会议，计划于2023年5月5日至7日举行。自1963年以来，该会议一直是美国东北部拓扑学家和几何学家的数学生活中的一支力量，为代数、微分和几何拓扑学及相关学科的广泛结果的发展和传播提供了一个舞台。这些活动旨在鼓励拓扑学不同分支之间的数学广度和思想交流，以及欢迎早期职业数学家进入该领域，促进初级和高级参与者之间的互动。每年，几次会谈围绕一个重要的主题，为了传达一个子领域的最新研究进展到其他领域的拓扑学家，并教育研究生和早期职业研究人员最近感兴趣的主题。会议的每一次迭代都以一天的初级演讲者的介绍性演讲开始，并就主题所选主题的历史进行讨论会。它还包括一个关于令人兴奋的新研究方向的简短谈话的闪电会议。所有这些活动都有助于在无障碍的水平上展示相互关联领域的发展，从而对抗最近日益专业化的趋势。2023年会议的兴趣领域将是4流形理论的最新发展，这是一个与几何、代数、辛拓扑和几何有着深刻联系的主题。大约三分之一的讲座将讨论这个主题，以便更详细地介绍跨分支学科的拓扑学家到这个领域，而不是通过参加一个讲座或迷你课程获得。未来可能的主题包括：高维负弯曲流形、迹方法和同伦类型理论；尽管组织者仍然保持灵活，如果一个新的令人兴奋的发展出现在其他地方。会议的其余会谈展示了拓扑学不同领域的广泛最新发展，并以广度的观点进行了选择。此外，所有的演讲者都参加了一个“闪电回合”，由简短的介绍其他人最近令人兴奋的工作和对未来趋势的猜测组成。这为新的发展提供了前瞻性的视角，并激发了讨论。开幕日的活动和研究生讲座为感兴趣的非专家提供了一个切入点，并鼓励研究生参与。这些活动的更广泛的影响包括一个受过更广泛训练的拓扑学家社区，能够超越亚专业的界限；更加多样化的数学队伍；年轻拓扑学家更快地融入当前的研究领域；加强了拓扑学不同领域研究人员之间的合作。将通过散发讲习班的讲稿和小组讨论和问题讨论的摘要来扩大会议的培训效果；该奖项的主要载体是会议网站，该网站自1997年以来一直持续维护。https://e.math.cornell.edu/sites/topology/This奖项反映了美国国家科学基金会的法定使命，并通过使用基金会的知识价值和更广泛的影响审查标准进行评估，被认为值得支持。