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: 2329854
• 负责人: Christopher Elliott
• 金额: $ 2.14万
• 依托单位: Amherst College
• 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=2329854&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，旨在将新英格兰及周边地区的拓扑、数学物理和相关学科的研究人员聚集在一起。 该奖项为两次会议提供支持，这两次会议将于 2023 年 11 月 11 日至 12 日在波士顿大学和 2024 年 4 月 6 日至 7 日在阿默斯特学院举行。这些活动的目标是利用数学物理的研究领域，特别是当代研究环境中的量子场论和代数拓扑。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齐聚一堂的场所，讨论这些研究领域的当前趋势，并培育跨机构的知识社区。参与者将包括领先的研究人员以及研究生和博士后学者。过去十年，拥有代数拓扑和数学物理领域专业知识的研究人员在一系列领域取得了重大进展，特别是通过在这些学科之间导出和导入技术。这个小型会议系列将由新英格兰当地专家介绍这些新发展，包括，例如，因式分解代数理论、因式分解同调和配置空间理论；函子 TQFT 和更高的分类技术及其在结和流形不变量中的应用；几何表示理论，包括与四维超对称规范理论相关的几何朗兰兹对应的版本；低维拓扑和运算代数；流形束和规范理论的特征类；泊松西格玛模型和李代数体的可积性问题。更多信息将在会议网站上提供：https://brianrwilliams.github.io/neatmaps/。该奖项反映了 NSF 的法定使命，并通过使用基金会的智力价值和更广泛的影响审查标准进行评估，被认为值得支持。