Shanks Workshop on Homotopy Theory

该NSF奖项为研究生、早期职业研究人员和代表性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香克斯同伦理论研讨会。该研讨会将促进整个代数拓扑领域的研究人员之间的合作和思想交流，代数拓扑是数学的一个分支，处于几个基本研究领域的交叉点。本次研讨会邀请的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。该研讨会将有助于在南部（包括肯塔基州、乔治亚州和范德比尔特大学）不断增长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，更多的初级参与者将有机会融入更广泛的拓扑社区。会议的日程安排设计了休息时间，以鼓励参与者之间的合作和非正式的数学互动。这样的机会对于处于职业生涯早期的数学家来说尤为重要。将年轻数学家和未被充分代表的群体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基础发展到代数和拓扑k理论。汇集这些领域的数学家将促进中西部和南部在同伦理论范围内工作的代数拓扑学家之间的合作。此外，演讲者的研究包括同伦理论的几个领域，这些领域与其他纯数学领域有富有成效的联系，如几何群论和动力学。这次研讨会将有助于向田纳西州和周边各州的研究人员宣传这些联系，在那里历史上很少有同伦理论。因此，范德比尔特大学的一次会议将展示当前同题研究的范围，这将使数学在学科内部和其他领域之间建立联系。更多信息请访问：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/