Shanks Workshop on Homotopy Theory

这一NSF奖项为研究生、早期职业研究人员和代表不足的群体成员提供支持，以参加2017年3月25日至26日在范德比尔特大学举行的Shanks关于同伦理论的研讨会。研讨会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，位于几个基本研究领域的交叉点。这次研讨会的特邀演讲者反映了该领域当前工作的多样性，并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。研讨会将有助于在包括肯塔基州、佐治亚州和范德比尔特在内的南部不断增长的拓扑学家社区与中西部长期存在的研究人员社区之间建立联系。这些类型的研究联系是数学研究进步的基石。现有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，更多的初级参与者将有机会融入更广泛的拓扑学社区。会议的日程安排带有休息时间，以鼓励与会者之间的合作和非正式的数学互动。这样的机会对处于职业生涯早期的数学家来说尤其重要。将年轻的数学家和代表不足的群体的成员纳入科学话语是建立一个真正具有代表性的数学家社区的关键。会议演讲者代表了该领域的一系列研究，从计算到色同伦理论，从基础发展到代数和拓扑K理论。将来自这些领域的数学家聚集在一起，将促进中西部和南部代数拓扑学家之间的合作，这些拓扑学家今天在同伦理论的各个领域工作。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卓有成效的联系，如几何群论和动力学。这个研讨会将向田纳西州和周边州的研究人员宣传这些联系，在这些州，历史上几乎没有同伦理论。因此，在范德比尔特举行的一次展示当前同伦研究范围的会议将允许在该学科内以及与其他领域建立数学联系。欲了解更多信息，请访问网站：https://my.vanderbilt.edu/homotopytheory2017/。

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/