Algebraic Structures in Topology Conference, San Juan, Puerto Rico

该奖项为将于2022年5月30日至6月3日在波多黎各圣胡安举行的“拓扑中的代数结构”会议提供支持。会议将集中讨论代数拓扑学的最新发展及其在几何拓扑学、数学物理和代数几何中的应用。该活动旨在汇集来自代数拓扑不同子领域的数学家，他们使用相似的技术来实现不同的目标，并培养新的思想和观点。会议将以全体会议、迷你课程、专题演讲和非正式互动时间为特色。会议的另一个主要目标是向未被代表的种族和民族群体的数学家伸出援助之手，他们可能会感到与更大的数学界隔绝。会议的指导主题是使用代数和范畴技术来更好地理解空间的同伦理论、流形的代数拓扑和代数几何对象。会议将重点讨论以下主题：操作数理论、等变同伦理论、高范畴论与衍生代数、结构代数的Hochschild同伦理论和代数k理论。更多信息可在会议网站https://sites.google.com/view/algebraicstructures.This获得。该奖项反映了美国国家科学基金会的法定使命，并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，被认为值得支持。

This award provides support for the conference “Algebraic structures in topology” in San Juan, Puerto Rico, to be held on May 30th-June 3rd, 2022. The conference will focus on recent developments in algebraic topology and its applications to geometric topology, mathematical physics, and algebraic geometry. This event aims to bring together mathematicians from diverse subfields in algebraic topology, who use similar techniques to achieve different goals and foster new ideas and perspectives. The conference will feature plenary talks, mini-courses, contributed talks, and time for informal interactions. Another major goal of the conference is outreach to mathematicians from unrepresented racial and ethnic groups who may feel isolated from the larger mathematical community. The guiding theme of the conference is the use of algebraic and categorical techniques to better understand the homotopy theory of spaces, the algebraic topology of manifolds, and algebro-geometric objects. The following are among the topics that will be highlighted at the conference: the theory of operads, equivariant homotopy theory, higher category theory and derived algebra, Hochschild homology theory of structured algebras, and algebraic K-theory. More information is available at the conference website https://sites.google.com/view/algebraicstructures.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.