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奖为研究生，早期职业研究人员和代表性不足的小组的成员提供支持，以参加范德比尔特大学的同型理论研讨会，于2017年3月25日至26日。工作坊将促进整个代数拓扑领域的研究人员之间的思想合作和交流，这是数学阶段的整个研究，这些阶段是在几个基础上建立了几个基础。该研讨会的邀请演讲者反映了该地区当前工作的多样性，并在各个职业阶段包括研究人员，以最好地捕捉当今该领域的横截面。 该研讨会将有助于建立南部拓扑学家不断增长的社区，包括肯塔基州，佐治亚州和范德比尔特（Vanderbilt），与中西部的研究人员长期以来。 这些类型的研究联系是数学研究进展的基础。拥有已建立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界。会议的时间表设计为休息时间，以鼓励参与者之间的合作和非正式的数学互动。 这种机会对于数学家的职业生涯初期尤其重要。 将年轻的数学家和代表性不足的群体的成员纳入科学话语是建立真正代表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，从色度同义理论到基础发展到代数和拓扑K理论。 将这些领域的数学家汇集在一起​​将有助于当今的同型理论范围内工作的中西部和南方代数拓扑师之间的合作。 此外，演讲者的研究还包括与纯数学的其他领域（例如几何群体理论和动力学）具有富有成果的连接的同型理论领域。该研讨会将有助于宣传与田纳西州和周边国家的研究人员的这些联系，而历史上几乎没有同义理论。 因此，范德比尔特（Vanderbilt）的会议展示了当前的同位研究范围，将允许在学科和其他领域内建立数学联系。更多信息可以在网站上找到：https：//my.vanderbilt.edu/homotopy theory2017/