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，旨在汇集在新英格兰和周边地区工作的拓扑，数学物理和相关学科的研究人员。该奖项为将于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的两次会议提供支持。这些活动的目标是利用数学物理研究领域，特别是量子场论和代数拓扑在当代研究环境中不断扩大的话语。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，让他们聚集在一起讨论这些研究领域的当前趋势，并促进跨机构的知识分子社区。参与者将包括领先的研究人员、研究生和博士后学者。在过去的十年中，具有代数拓扑和数学物理领域结合的专业知识的研究人员在一系列领域取得了实质性进展，特别是通过在这些学科之间和之间输出和导入技术。这个小型会议系列将介绍新英格兰当地专家的讲座，讨论这些新发展，包括，例如，分解代数理论，分解同调和构形空间理论；泛函TQFT和高级分类技术及其在结不变量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；低维拓扑与操作代数；流形束的特征类与规范理论李代数群的泊松-西格玛模型与可积性问题。更多信息可在会议网站上获得：https://brianrwilliams.github.io/neatmaps/.This该奖项反映了NSF的法定使命，并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，被认为值得支持。

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.