The 35th Summer Conference on Topology and its Applications

第35届夏季拓扑及其应用会议

• 批准号: 1954943
• 负责人: Jamal Tartir
• 金额: $ 3.5万
• 依托单位: Youngstown State University
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 2020
• 资助国家: 美国
• 起止时间: 2020-06-01 至 2024-12-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=1954943&HistoricalAwards=false
• 关键词: 35th; Summer; Conference; Topology; its

This award supports participation in the 35th Summer Conference on Topology and Its Applications (SUMTOPO 2020) taking place 13–17 July 2020 at Youngstown State University in Youngstown, Ohio. Topology is an area of abstract mathematics that emerged from analysis and geometry as its own discipline in the late 19th century. It has since become one of the foundational disciplines of mathematics, underlying much of mathematics and its applications to the sciences. Modern applications of topology include logic, computer science, data processing, life sciences, game theory, and enriched category theory. In keeping with its predecessor conferences, SUMTOPO 2020 will be an important international event that reflects the ever-expanding world of topology and its applications, with sessions dedicated to natural and social sciences, category theory, computational topology (including block chains and data science), algebra and geometry, general and set-theoretic topology, dynamics and continuum theory, asymmetry and many-valuedness, and enriched categories and topology. SUMTOPO 2020 will contribute to better understanding the topological structures inherent in big data, as well as solidifying topology as a foundation of data science, thus contributing to the NSF goal of Harnessing the Data Revolution. SUMTOPO 2020 will have special sessions for recent doctoral recipients and faculty at smaller institutions to help them develop sustainable research programs, as well as outlining strategies for recruiting women and minorities to mathematics. Participants will comprise a diverse group of established researchers, junior researchers, graduate students, and retirees, with special emphasis on recruiting speakers and participants both internationally and from underrepresented populations. SUMPTOPO 2020 features sessions on Algebra and Geometry, General and Set-Theoretic Topology, Dynamics and Continuum Theory, and Asymmetry, while beginning and/or expanding sessions on Topology in Data Science for Natural and Social Sciences, Category Theory, Computational Topology, Many-Valuedness, and Enriched Categories and Topology. In each session, “topology,” whether explicitly stated or not, is a basis of the session. In the natural and social sciences, scientists and mathematicians are discovering that there are natural occurrences and phenomena that can be explained or better understood using topology and that some of the explanations raise new topological questions. Data science is of special interest in two of the sessions in SUMTOPO 2020. Data science is not only a rapidly developing area in its own right, it is also a driving force in important and on-going developments in many disciplines including most if not all the natural and social sciences. Topology is proving to be an integral part of the development of data science and its applications. Regarding category theory, we want to explore the ways in which category theory has influenced topology in the past and the ways that category theory will continue to influence topology in the future. Since the very nature of (big) data means that applications involving data science must be computational, computational topology is a critical area of focus. Computational topology also gives rise to new topological questions and areas of research. An asymmetric topology is one for which the associated specialization preorder is non-symmetric; while a many-valued topology is a collection of open sets, each of which is a mapping from the carrier set of a space to a designated complete lattice of “truth values.” In recent years it has been discovered that these two areas of topology are linked to each other and to computational topology, particularly to spaces and topological systems often associated with programming semantics.The conference web page is https://ysu.edu/sumtopo.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.

该奖项支持参加第35届夏季会议拓扑及其应用（SUMTOPO 2020）将于2020年7月13日至17日在俄亥俄州扬斯敦的扬斯敦州立大学举行。拓扑学是抽象数学的一个领域，在世纪后期从分析和几何学中独立出来。 它已经成为数学的基础学科之一，是数学及其在科学中应用的基础。 拓扑学的现代应用包括逻辑学、计算机科学、数据处理、生命科学、博弈论和丰富范畴论。 与其前身会议保持一致，SUMTOPO 2020将是一个重要的国际活动，反映了拓扑及其应用的不断扩大的世界，会议致力于自然和社会科学，范畴理论，计算拓扑（包括区块链和数据科学），代数和几何，一般和集合论拓扑，动力学和连续统理论，不对称性和多值性，丰富了类别和拓扑结构。 SUMTOPO 2020将有助于更好地理解大数据中固有的拓扑结构，并巩固拓扑作为数据科学的基础，从而有助于实现NSF利用数据革命的目标。SUMTOPO 2020将为最近的博士生和小型机构的教师举办特别会议，帮助他们制定可持续的研究计划，并概述招募女性和少数民族数学的策略。 与会者将包括一个多元化的既定研究人员，初级研究人员，研究生和退休人员，特别强调招募演讲者和与会者在国际上和代表性不足的人口。SUMPTOPO 2020的特点会议代数和几何，一般和集合理论拓扑，动力学和连续统理论，和不对称，而开始和/或扩展会议拓扑在数据科学自然和社会科学，范畴理论，计算拓扑，多值，丰富的类别和拓扑。在每个会话中，“拓扑”，无论是否明确声明，都是会话的基础。在自然科学和社会科学中，科学家和数学家发现，有一些自然现象和现象可以用拓扑学来解释或更好地理解，其中一些解释提出了新的拓扑学问题。数据科学在SUMTOPO 2020的两个会议中特别感兴趣。数据科学不仅本身是一个快速发展的领域，它也是许多学科重要和持续发展的驱动力，包括大多数（如果不是所有）自然科学和社会科学。拓扑被证明是数据科学及其应用发展的一个组成部分。关于范畴论，我们想探索范畴论在过去影响拓扑学的方式，以及范畴论在未来继续影响拓扑学的方式。由于（大）数据的本质意味着涉及数据科学的应用程序必须是计算性的，因此计算拓扑是一个关键的关注领域。计算拓扑学也产生了新的拓扑问题和研究领域。非对称拓扑是一个相关的专门化前序是非对称的拓扑;而多值拓扑是一个开集的集合，每个开集都是从空间的载体集到指定的“真值”完备格的映射。近年来，人们发现拓扑学的这两个领域相互联系，并与计算拓扑学联系在一起，特别是与空间和拓扑系统经常与编程语义联系在一起。会议网页是https://ysu.edu/sumtopo.This奖项反映了NSF的法定使命，并被认为值得通过使用基金会的智力价值和更广泛的影响审查标准进行评估来支持。