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的团体成员提供支持，参加2017年3月25日至26日在范德比尔特大学举行的Shanks同伦理论研讨会。 该讲习班将促进整个代数拓扑学领域的研究人员之间的合作和思想交流，代数拓扑学是数学的一个分支，处于几个基本研究领域的交叉点。本次研讨会的特邀演讲者反映了该领域当前工作的多样性，包括处于各种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。 该研讨会将有助于建立拓扑学家在南部，包括肯塔基州，格鲁吉亚和范德比尔特，与研究人员在中西部长期存在的社区之间的联系。 这些类型的研究联系是数学研究进步的基石。具有既定或新兴研究计划的参与者将有一个论坛来宣传他们的工作，更多的初级参与者将有机会融入更广泛的拓扑社区。会议的时间表设计了休息，以鼓励参与者之间的合作和非正式的数学互动。 这样的机会对于职业生涯早期的数学家来说尤其重要。 让年轻的数学家和代表性不足的群体的成员参与科学讨论是建立一个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，从通过色同伦理论的计算到代数和拓扑K理论的基础发展。 汇集来自这些领域的数学家将促进合作之间的中西部和南部代数拓扑学家的同伦理论的频谱工作今天。 此外，演讲者的研究包括同伦理论的几个领域，这些领域与纯数学的其他领域有着富有成效的联系，如几何群论和动力学。这次研讨会将有助于宣传这些连接到田纳西州和周边国家的研究人员，那里历史上几乎没有同伦理论。 因此，在范德比尔特举行的一次会议将展示当前同伦研究的范围，这将使数学在学科内部和其他领域建立联系。更多信息请访问网站：https://my.vanderbilt.edu/homotopytheory2017/