Conference: Arithmetic quantum field theory

会议：算术量子场论

• 批准号: 2400553
• 负责人: Daniel Freed
• 金额: $ 4.5万
• 依托单位: Harvard University
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 2024
• 资助国家: 美国
• 起止时间: 2024-03-01 至 2025-02-28
• 项目状态: 未结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=2400553&HistoricalAwards=false
• 关键词: Conference; Arithmetic; quantum; field; theory

The conference Arithmetic Quantum Field Theory will be held at the Harvard Center of Mathematical Sciences and Applications (CMSA) on March 25-29 2024. This will be an in-person gathering of approximately 70 researchers - graduate students, postdocs, and faculty in mathematics and physics, available in hybrid mode to an unlimited number of outside participants. A central focus of the conference - and the dedicated aim of its first day - is to encourage a high level of participation by women in math and physics. The first day is designed to encourage junior researchers to come and network, give talks in a friendly environment, and participate without concern over the precise fit of their research to the narrow theme of the workshop. The conference Arithmetic Quantum Field Theory, and the two-month program of the same title it concludes, are aimed at catalyzing interactions between mathematicians and physicists by disseminating exciting new connections emerging between quantum field theory and algebraic number theory, and in particular between the fundamental invariants of each: partition functions and L-functions. On one hand, there has been tremendous progress in the past decade in our understanding of the algebraic structures underlying quantum field theory as expressed in terms of the geometry and topology of low-dimensional manifolds. On the other hand, the arithmetic topology dictionary provides a sturdy bridge between the topology of manifolds and the arithmetic of number fields. Thus, one can now port over quantum field theoretic ideas to number theory. The program will bring together a wide range of mathematicians and physicists working on adjacent areas to explore the emerging notion of arithmetic quantum field theory as a tool to bring quantum physics to bear on questions of interest for the theory of automorphic forms, harmonic analysis and L-functions, and conversely to explore potential geometric and physical consequences of arithmetic ideas.The conference website is https://cmsa.fas.harvard.edu/event/aqftconf/ where recordings of the talks and notes from lectures will be made widely available.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.

算术量子场论会议将于 2024 年 3 月 25 日至 29 日在哈佛数学科学与应用中心 (CMSA) 举行。这将是大约 70 名研究人员（数学领域的研究生、博士后和教师）的现场聚会和物理，以混合模式提供给无限数量的外部参与者。 会议的中心焦点以及第一天的专门目标是鼓励女性高水平参与数学和物理领域。第一天的目的是鼓励初级研究人员前来交流，在友好的环境中进行演讲，并参与其中，而不必担心他们的研究是否与研讨会的狭窄主题精确契合。算术量子场论会议及其结束的为期两个月的同名计划旨在通过传播量子场论和代数数论之间，特别是基本理论之间出现的令人兴奋的新联系，促进数学家和物理学家之间的互动。每个的不变量：配分函数和 L 函数。 一方面，在过去十年中，我们对量子场论基础代数结构（以低维流形的几何和拓扑形式表示）的理解取得了巨大进展。另一方面，算术拓扑字典在流形拓扑和数域算术之间提供了一座坚固的桥梁。因此，人们现在可以将量子场论思想移植到数论中。该计划将汇集在邻近领域工作的广泛数学家和物理学家，探索算术量子场论的新兴概念，将其作为一种工具，将量子物理学应用于自守形式、调和分析和 L 理论感兴趣的问题。 -函数，并反过来探索算术思想的潜在几何和物理后果。会议网站是 https://cmsa.fas.harvard.edu/event/aqftconf/ ，其中将录制演讲和讲座笔记该奖项反映了 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。