Pan-American School on Commutative Algebra (PASCA 2022)

泛美交换代数学校是一个为期两周的暑期学校，专注于当前该领域感兴趣的一系列主题。学校将在墨西哥瓜纳华托市的调查中心举行，该中心有着成功举办国际活动的悠久传统。除了向参与者介绍活跃的研究课题外，学院的另一个主要目标是促进参与者之间的国际联系。这笔助学金将资助在美国的研究生进入该校就读。近年来，交换代数取得了一些重大突破。这些结果综合了交换代数中的各种技巧和其他领域的方法，如数论、凸几何和表示论。这所学校的基本科学目的是将学生与当前对交换代数感兴趣的一系列问题和技巧联系起来。该学院的课程包括关于环状变种的讲座，关于自由分解的代数结构，正特征的方法，以及微分学和导数及其应用。有关暑期学校的更多信息，请参阅https://www.jack-jeffries.github.io/PASCA.html.This奖项，该奖项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 Pan-American School on Commutative Algebra is a two week long summer school focusing on a range of topics of current interest in the field. The school will take place on the premises of Centro de Investigación en Matemáticas in Guanajuato, Mexico, which has a long tradition of successful international events. In addition to introducing active research topics to the participants, another major goal of the school is to foster international connections among the participants. This grant will fund the participation of US-based graduate students to the school.A number of significant breakthroughs have occurred in Commutative Algebra in recent years. These results arrived by integrating various techniques in Commutative Algebra and methods from other areas such as number theory, convex geometry, and representation theory. The basic scientific purpose of this school is to connect students with a range of questions and techniques of current interest in Commutative Algebra. Topics for the school include lectures on toric varieties, algebra structures on free resolutions, methods in positive characteristic, and differentials and derivations with applications. For more information on the summer school, see https://www.jack-jeffries.github.io/PASCA.html.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.