Conference: CMND 2024 program: Field Theory and Topology

该计划“场论和拓扑”将在数学中心在圣母院（CMND），2024年6月3日至21日举行将继续CMND暑期课程的线，并包括研究生/博士后暑期学校，会议和本科暑期学校。该计划将使新一代的本科生和早期职业研究人员接触到拓扑学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。该计划“场论和拓扑”将集中在最近的非凡发展，在这种相互作用-新的不变量的流形和结来自外地理论的建设;新的语言和范式场论来自相互作用与拓扑结构：函场论，上同调（Batalin-Vilkovisky）的方法，方法通过派生几何和通过因子分解代数。在节目中讨论的主题也将是超对称和扩展拓扑场论，全纯扭曲。该活动的网页：https://sites.nd.edu/2024cmndthematicprogram/This奖反映了NSF的法定使命，并已被认为值得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的支持。

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.