Conference: CMND 2024 program: Field Theory and Topology

会议：CMND 2024 议程：场论与拓扑

• 批准号: 2350370
• 负责人: Pavel Mnev
• 金额: $ 3.94万
• 依托单位: University of Notre Dame
• 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: 2024-05-01 至 2025-04-30
• 项目状态: 未结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=2350370&HistoricalAwards=false
• 关键词: Conference; CMND; 2024; program; Field

The program “Field theory and topology” to be held at the Center for Mathematics at Notre Dame (CMND), June 3—21, 2024 will continue the line of CMND summer programs and consists of a graduate/postdoctoral summer school, a conference, and an undergraduate summer school. The program will expose a new generation of undergraduates and early-career researchers to the new ideas, developments, and open problems in the exciting meeting place between topology and quantum field theory where many surprising advances were made recently.There is a rich interplay between quantum field theory and topology. The program “Field theory and Topology” will focus on recent extraordinary developments in this interplay -- new invariants of manifolds and knots coming from field-theoretic constructions; new languages and paradigms for field theory coming from interaction with topology: functorial field theory, cohomological (Batalin-Vilkovisky) approach, approach via derived geometry and via factorization algebras. Among subjects discussed at the program will also be supersymmetric and extended topological field theories, holomorphic twists. Webpage of the event: https://sites.nd.edu/2024cmndthematicprogram/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.

将于2024年6月3日至21日在圣母大学数学中心（CMND）举行的“场论与拓扑”项目将延续CMND暑期项目的路线，由研究生/博士后暑期学校、会议和本科生暑期学校组成。该项目将使新一代的本科生和早期职业研究人员接触到拓扑和量子场论之间令人兴奋的会议场所的新思想，发展和开放问题，最近取得了许多令人惊讶的进展。量子场论和拓扑学之间有着丰富的相互作用。“场论与拓扑学”课程将重点关注这种相互作用的最新非凡发展——来自场论构造的流形和结的新不变量；与拓扑学相互作用产生的新的场论语言和范式：泛函场论、上同调（Batalin-Vilkovisky）方法、派生几何方法和因式分解代数方法。在课程中讨论的主题还包括超对称和扩展拓扑场论，全纯扭转。该奖项反映了美国国家科学基金会的法定使命，并通过基金会的智力价值和更广泛的影响审查标准进行评估，认为值得支持。