2017-2019 Talbot Workshops

2017-2019 塔尔博特研讨会

• 批准号: 1623977
• 负责人: Haynes Miller
• 金额: $ 7.94万
• 依托单位: Massachusetts Institute of Technology
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 2016
• 资助国家: 美国
• 起止时间: 2016-08-15 至 2022-07-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=1623977&HistoricalAwards=false
• 关键词: 2017; 2019; Talbot; Workshops

AbstractAward: DMS 1623977, Principal Investigator: Haynes R. MillerThis award provides support for the next three Talbot workshops to be held in 2017, 2018, and 2019. Since its initial meeting in 2004, the Talbot Workshop has introduced young researchers in algebraic topology to topics of contemporary interest. This annual workshop gathers about 35 young participants and one or two senior mathematicians for a week-long retreat; the participants, who are mostly graduate students, learn about the week's research topic by exchanging lectures and discussing the topic under the guidance of the mentors. The workshop has been extremely successful, inspiring the future research of many students and establishing numerous collaborations among the participants. The workshop's unique format, in which participants live and cook together in a rental house, helps to create and sustain the collaborative atmosphere.Past Talbot Workshops have focused on a wide variety of topics in homotopy theory and surrounding areas, from elliptic cohomology (2004) and Fukaya categories (2009) to non-abelian Hodge theory (2011) and, most recently (2016), the Hill-Hopkins-Ravenel solution of the longstanding Kervaire invariant problem (with Hill and Ravenel as mentors). The topics under preliminary consideration for 2017, 2018, and 2019 include: stability conditions on triangulated categories, trace methods in algebraic K-theory, conformal field theory, derived algebraic geometry, applied topology, and Heegaard Floer theory. As many of the participants are first- or second-year graduate students looking to get a start in a promising research area, the lectures begin with basics, such as an introduction to model categories and to equivariant homotopy theory in the 2016 workshop, and lead up to a presentation of open problems related to the workshop material. The web site for the Talbot workshops is http://math.mit.edu/conferences/talbot/.

摘要奖：DMS 1623977，主要研究者：Haynes R.米勒该奖项为将于2017年、2018年和2019年举办的下三届塔尔博特研讨会提供支持。自2004年首次会议以来，塔尔博特研讨会介绍了年轻的研究人员在代数拓扑的主题，当代的兴趣。这个一年一度的研讨会聚集了大约35名年轻的参与者和一个或两个高级数学家为期一周的务虚会;参与者，谁是大多数研究生，通过交流讲座和讨论的指导下的主题，了解本周的研究课题。研讨会非常成功，激发了许多学生未来的研究，并在参与者之间建立了许多合作。该研讨会的独特形式，其中参与者生活和烹饪在一个出租的房子，有助于创造和维持合作的气氛。过去的塔尔博特研讨会集中在同伦理论和周边领域的各种主题，从椭圆上同调（2004）和福谷类别（2009）到非阿贝尔霍奇理论（2011），最近（2016），长期存在的Kervaire不变问题的Hill-Hopkins-Ravenel解决方案（Hill和Ravenel担任导师）。2017年、2018年和2019年初步考虑的主题包括：三角范畴的稳定性条件、代数K理论中的迹方法、共形场论、导出代数几何、应用拓扑学和Heegaard Floer理论。由于许多参与者是一年级或二年级的研究生，希望在一个有前途的研究领域开始，讲座开始与基础知识，如模型类别和2016年研讨会中的等变同伦理论的介绍，并导致与研讨会材料相关的开放问题的介绍。塔尔博特研讨会的网站是http://math.mit.edu/conferences/talbot/。