Conference on Homological Commutative Algebra and Related Topics

该奖项资助了“同调交换代数及其相关主题及其应用”研究会议。本次国际会议将于2022年5月13日至15日在乔治亚州萨凡纳的乔治亚南方大学阿姆斯特朗校区举行。会议的主要目标是将来自不同领域、处于不同职业阶段的不同研究人员聚集在一个论坛上，在这个论坛上，他们将能够交流和建立他们的数学思想和工作。特别地，会议将强调同调交换代数的最新成果和发展，并将进一步联系数学的几个领域，包括组合学、几何、数论等。该活动将包括成熟和早期职业数学家，以及博士后研究员和学生，允许这些不同群体之间的合作，网络和专业发展。将特别注意确保妇女和研究人员参与人数不足的群体，以加强和促进数学科学的多样性和包容性。预期的结果是支持和促进这些数学主题的学生和研究人员在东南地区和其他地区。同调代数起源于代数拓扑学，是正则局部环交换代数局部化猜想的一种工具。随后，同调代数成为交换代数的一个重要分支学科。会议活动将讨论同调交换代数与其他数学学科之间的许多联系。具体来说，这次活动包括讨论交换代数、代数几何、代数数论、表示论、组合学、变形论、范畴论、理性同伦论和其他相关领域的基本问题。它将遵循一种典型的形式，即研究演讲与合作机会相结合，它将以由知名数学家进行的50分钟的研究演讲和来自早期职业研究人员的25分钟演讲为特色。欲了解更多信息，请参阅会议网页https://sites.google.com/georgiasouthern.edu/commutative-algebra-conference/homeThis该奖项反映了NSF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 funds the research conference "Homological Commutative Algebra and Related Topics and their Applications." This international conference will be held at Georgia Southern University's Armstrong Campus in Savannah, Georgia during May 13-15, 2022. The main goal of the meeting is to bring together a diverse group of researchers from a mixture of fields, and in different stages of their careers, in a forum where they will be able to exchange and build on their mathematical ideas and work. In particular, the conference will highlight the recent results and developments in homological commutative algebra and will further connect with several fields of mathematics, including combinatorics, geometry, number theory, and others. The event will include established and early-career mathematicians, as well as post-doctoral fellows and students, allowing collaborations, networking, and professional development between these different groups. Special care will be taken to ensure participation from women and researchers in underrepresented groups to enhance and promote diversity and inclusion in the mathematical sciences. The expected outcome is to support and promote these mathematical topics for students and researchers in the southeastern region and beyond. Homological algebra originated from algebraic topology as a tool used in the commutative algebra localization conjecture of regular local rings. Subsequently, homological algebra has become a major subdiscipline of commutative algebra. The conference activities will address many connections between homological commutative algebra and other mathematical disciplines. Specifically, the event includes discussions on fundamental problems in commutative algebra, algebraic geometry, algebraic number theory, representation theory, combinatorics, deformation theory, category theory, rational homotopy theory, and other related areas. It will follow a typical format with research talks in conjunction with collaboration opportunities, and it will feature a mix of 50-minute research talks given by established mathematicians and 25-minute presentations from early-career researchers. For more information, see the conference webpage https://sites.google.com/georgiasouthern.edu/commutative-algebra-conference/homeThis 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.