Conference: CMND 2024 program: Field Theory and Topology

将于2024年6月3日至21日在圣母大学数学中心(CMND)举行的“场论与拓扑学”项目将延续CMND暑期项目的路线，包括研究生/博士后暑期班、会议和本科生暑期班。该计划将使新一代本科生和职业生涯早期的研究人员在拓扑学和量子场论之间令人兴奋的相遇之处接触到新的思想、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存在着丰富的相互作用。《场论与拓扑学》节目将集中于这种相互作用中的最新非凡发展--来自场论构造的流形和纽结的新不变量；来自与拓扑学相互作用的场论的新语言和新范式：函数场论、上同调(Batalin-Vilkovisky)方法、通过派生几何和通过因式分解代数的方法。在节目中讨论的主题还包括超对称和扩展拓扑场理论，全纯扭曲。活动网页：https://sites.nd.edu/2024cmndthematicprogram/This奖反映了国家科学基金会的法定使命，并通过使用基金会的智力优势和更广泛的影响审查标准进行评估，被认为值得支持。

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.