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

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，旨在汇集拓扑，数学物理和相关学科的研究人员在新英格兰和周边地区工作。 该奖项为两个会议提供支持，这两个会议将于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，特别是量子场论的研究领域之间不断扩大的话语，并在当代研究环境中的代数拓扑。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，共同讨论这些研究领域的当前趋势，并促进跨机构的知识界。与会者将包括主要研究人员以及研究生和博士后学者。在过去的十年中，具有代数拓扑学和数学物理学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出口和进口技术。这个小型会议系列将目前在新英格兰解决这些新的发展，包括当地专家讲座，例如，分解代数，分解同调理论和配置空间的理论;函TQFT和更高的分类技术及其应用结和流形不变量;几何表示理论，包括几何朗兰兹对应的版本，因为它涉及到四维超对称规范理论;低维拓扑和运算代数;流形丛和规范理论的特征类; Poisson-sigma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/.This奖项反映了NSF的法定使命，并被认为值得通过使用基金会的知识价值和更广泛的影响审查标准进行评估来支持。

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.