Shanks Workshop on Homotopy Theory

Shanks 同伦理论研讨会

• 批准号: 1710557
• 负责人: AnnaMarie Bohmann
• 金额: $ 1.2万
• 依托单位: Vanderbilt University
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 2017
• 资助国家: 美国
• 起止时间: 2017-01-01 至 2019-12-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=1710557&HistoricalAwards=false
• 关键词: Shanks; Workshop; Homotopy; Theory

This NSF award provides support for graduate students, early-career researchers and members of underrepresented groups to participate in the Shanks Workshop on Homotopy Theory at Vanderbilt University on March 25-26, 2017. The workshop will foster collaboration and exchange of ideas among researchers throughout the field of algebraic topology, a branch of mathematics that stands at the intersection of several fundamental areas of research. This workshop's invited speakers reflect the diversity of current work in the area and include researchers at a variety of career stages in order to best capture a cross-section of the field today. The workshop will help establish ties between the growing community of topologists in the south, including Kentucky, Georgia and at Vanderbilt, with the long-standing community of researchers in the Midwest. These types of research connections are the building blocks for progress in mathematical research. Participants with established or emerging research programs will have a forum to publicize their work and more junior participants will have the opportunity to integrate into the wider topology community. The schedule of the conference is designed with breaks to encourage collaborations and informal mathematical interactions among the participants. Such opportunities are especially important for mathematicians early in their career. Incorporating young mathematicians and members of underrepresented groups into the scientific discourse is key to building a truly representative community of mathematicians. The conference speakers represent a range of research in the field, from computations via chromatic homotopy theory to foundational development to algebraic and topological K-theory. Bringing together mathematicians from these areas will facilitate collaborations between Midwestern and Southern algebraic topologists working across the spectrum of homotopy theory today. Additionally, the speakers' research includes several areas of homotopy theory that have fruitful connections to other areas of pure mathematics, such as geometric group theory and dynamics. This workshop will serve to publicize these connections to researchers in Tennessee and surrounding states, where there has historically been little homotopy theory. Thus, a conference at Vanderbilt showcasing the range of present homotopical research will allow the establishment of mathematical ties both within the discipline and to other fields. More information can be found at the website: https://my.vanderbilt.edu/homotopytheory2017/

该 NSF 奖项为研究生、早期职业研究人员和代表性不足群体的成员提供支持，以参加 2017 年 3 月 25 日至 26 日在范德比尔特大学举办的香克斯同伦理论研讨会。该研讨会将促进研究人员之间的合作和思想交流。代数拓扑领域，数学的一个分支，处于几个基础研究领域的交叉点。本次研讨会邀请的演讲者反映了该领域当前工作的多样性，包括处于不同职业阶段的研究人员，以便最好地捕捉当今该领域的横截面。 该研讨会将帮助南方（包括肯塔基州、佐治亚州和范德比尔特大学）不断壮大的拓扑学家群体与中西部长期存在的研究人员群体之间建立联系。 这些类型的研究联系是数学研究进步的基石。已建立或新兴研究项目的参与者将有一个论坛来宣传他们的工作，更多初级参与者将有机会融入更广泛的拓扑社区。会议日程设计有休息时间，以鼓励参与者之间的合作和非正式的数学互动。 对于职业生涯早期的数学家来说，这样的机会尤其重要。 将年轻数学家和代表性不足群体的成员纳入科学话语是建立真正具有代表性的数学家社区的关键。会议发言人代表了该领域的一系列研究，从色同伦理论的计算到代数和拓扑 K 理论的基础发展。 来自这些领域的数学家聚集在一起将促进当今中西部和南部代数拓扑学家在同伦理论领域的合作。 此外，演讲者的研究还包括同伦论的几个领域，这些领域与纯数学的其他领域（例如几何群论和动力学）有着富有成效的联系。本次研讨会将向田纳西州及周边州的研究人员宣传这些联系，这些州历史上几乎没有同伦理论。 因此，在范德比尔特举行的会议展示了当前同伦研究的范围，将允许在学科内和其他领域建立数学联系。更多信息可以在网站上找到：https://my.vanderbilt.edu/homotopytheory2017/