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; 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.

会议算术量子场理论将于2024年3月25日至29日在哈佛数学科学和应用中心（CMSA）举行。这将是大约70名研究人员的亲自聚会 - 研究生，研究生，博士后和数学和物理学的教职员工，在Hybrid模式中可与外部参与者无数的参与者数量一起使用。 会议的主要重点以及第一天的专门目的是鼓励妇女参与数学和物理学。第一天旨在鼓励初级研究人员来进行网络，在友好的环境中进行谈判，并不必担心他们的研究对工作室狭窄主题的精确拟合。会议算术量量子场理论以及它得出的同一标题的两个月计划，旨在通过传播量子场理论与代数数字理论之间出现的令人兴奋的新连接，尤其是在每个：partition and partition和l functions and loffuntions和l functions的基础上，旨在催化数学家和物理学家之间的相互作用。 一方面，在过去的十年中，我们对以低维歧管的几何形状和拓扑结构表示的代数结构的理解取得了巨大的进步。另一方面，算术拓扑词典在歧管拓扑与数字字段的算术之间提供了坚固的桥梁。因此，现在可以将量子字段理论思想置于数字理论上。该计划将汇集各种数学家和物理学家在相邻领域的工作，以探索算术量子量子田间理论的新兴概念，作为一种工具，以使量子物理学对自动形态，和谐分析和l-contunctions和l功能理论的兴趣问题，并相反，并探索了潜在的几处和身体后果。 https://cmsa.fas.harvard.edu/event/aqftconf/将广泛获得演讲和讲座的录音。该奖项反映了NSF的法定任务，并认为通过基金会的知识和更广泛的Impact Impact Impact Impact Impact Impact Impactia审查Criteria，并被认为是值得通过评估的支持。