Collaborative Research: Conference: New England Algebraic Topology and Mathematical Physics Seminar (NEAT MAPS)

合作研究：会议：新英格兰代数拓扑与数学物理研讨会（NEAT MAPS）

• 批准号: 2329855
• 负责人: Brian Williams
• 金额: $ 1.66万
• 依托单位: Trustees of Boston University
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 2023
• 资助国家: 美国
• 起止时间: 2023-09-15 至 2025-02-28
• 项目状态: 未结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=2329855&HistoricalAwards=false
• 关键词: Collaborative; Research; Conference; New; England

The New England Algebraic Topology and Mathematical Physics Seminar (NEAT MAPS) is a series of short conferences designed to bring together researchers in topology, mathematical physics and related subjects working within New England and the surrounding area. This award provides support for two conference meetings, that will take place at Boston University, November 11-12, 2023, and Amherst College, April 6-7, 2024. The goal of these events is to take advantage of the expanding discourse between the research areas of mathematical physics, particularly quantum field theory, and algebraic topology in the contemporary research environment. The conferences will provide a venue for mathematicians in different subfields and different career stages to come together to discuss current trends in these research areas and foster an intellectual community across institutions. Participants will include leading researchers as well as graduate students and post-doctoral scholars. Researchers with expertise spanning a combination of the fields of algebraic topology and mathematical physics have been making substantial advances in a range of areas over the last decade, particularly by exporting and importing techniques across and between these disciplines. This mini-conference series will present lectures from local experts in New England addressing these new developments, including, for instance, the theory of factorization algebras, factorization homology, and the theory of configuration spaces; functorial TQFT and higher categorical techniques and their applications to knot and manifold invariants; geometric representation theory, including versions of the geometric Langlands correspondence as it relates to four-dimensional supersymmetric gauge theory; low dimensional topology and operadic algebra; characteristic classes of manifold bundles and gauge theories; Poisson-sigma models and the integrability problem for Lie algebroids. More information will be available at the conference website: https://brianrwilliams.github.io/neatmaps/.This award reflects NSF's statutory mission and has been deemed worthy of support through evaluation using the Foundation's intellectual merit and broader impacts review criteria.

新英格兰代数拓扑和数学物理研讨会（NEAT MAPS）是一系列简短的会议，旨在将拓扑，数学物理学及其相关学科的研究人员汇集在一起​​，在新英格兰和周边地区工作。 该奖项为两次会议提供了支持，该会议将在2023年4月6日至7日在波士顿大学和阿默斯特学院举行。这些活动的目的是利用扩大的论述当代研究环境中数学物理学的研究领域，尤其是量子场理论和代数拓扑。这些会议将为不同子领域和不同职业阶段的数学家提供一个场所，以讨论这些研究领域的当前趋势，并培养跨机构的知识社区。参与者将包括领先的研究人员以及研究生和博士后学者。具有专业知识的研究人员涵盖了代数拓扑和数学物理学领域的结合，在过去的十年中，在一系列领域取得了重大进步，尤其是通过在这些学科之间和这些学科之间的出口和进口技术。这个微型会议系列将介绍新英格兰本地专家的讲座，以解决这些新事态发展，例如，分解代数，分解同源性和配置空间理论；功能性TQFT和更高的分类技术及其在结和流动不变的方面的应用；几何表示理论，包括与四维超对称仪表理论相关的几何兰德兰对应的版本；低维拓扑结构和大型代数；歧管束和衡量理论的特征类别；泊松 - sigma模型和谎言代数的可集成性问题。更多信息将在会议网站：https：//brianrwilliams.github.io/neatmaps/.This奖中反映NSF的法定任务，并被认为是通过基金会的知识分子优点和更广泛的影响来评估的评估标准，反映了NSF的法定任务。