CONFERENCE ON D-MODULES IN COMMUTATIVE ALGEBRA

2015年8月10-14日，一场名为“交换代数中的d模”的会议将在墨西哥瓜纳华托的数学研究中心（CIMAT）举行。会议的主要目标是将d模和交换代数的专家聚集在一起，分享思想和发展合作，向交换代数家展示d模世界的技术和新发展，并提高年轻数学家对这些技术的认识。在CIMAT举办会议将促进墨西哥数学家和美国西班牙裔数学家对这一主题的兴趣，并增加美国和墨西哥数学家之间合作的潜力。该奖项将资助20名美国参与者的旅费，这些参与者主要是初级研究人员和研究生。该奖项由美国国家科学基金会国际和综合活动办公室共同资助。d模和交换代数是代数的两个不同分支。它们之间的联系是在1993年的一篇论文中建立的，该论文使用d模来解决交换代数中的问题。当两个不同的领域融合在一起时，总是令人兴奋的。这为解决老问题提供了新的工具，从而丰富了这两个领域。到目前为止，d模在交换代数中的应用范围已经远远超出了1993年的那篇论文。另一方面，这些应用推动了d模本身理论的重要发展。然而，尽管取得了这些进展，仍有许多问题有待解决。在d模的世界里有许多令人兴奋的发展，它们对交换代数的意义还没有得到充分的探索；例如，黎曼-希尔伯特对应和贝特洛的算术d模理论，仅举两个例子。会议期间将有三个简短的系列讲座，分别是黎曼-希尔伯特对应，算术d模，以及d模在交换代数中的应用。会议将包括一些研究会谈以及一个有节制的开放问题会议。会议网址：https://sites.google.com/site/dmodulesincommutativealgebra/home

A conference titled "D-modules in Commutative Algebra" will be held 10-14 August 2015 at the Centro de Investigacion en Matematicas (CIMAT) in Guanajuato, Mexico. The main goals of the conference are to bring together experts in D-modules and in Commutative Algebra to share ideas and develop collaborations, to expose commutative algebraists to techniques and new developments in the world of D-modules and to increase awareness of these techniques among young mathematicians. Holding the conference at the CIMAT should boost the emerging interest in this topic among Mexican mathematicians and among Hispanic mathematicians in the US and should increase the potential for collaboration between US and Mexican mathematicians. The award will fund travel expenses for 20 US-based participants, mainly junior researchers and graduate students. This award is co-funded by the NSF Office of International and Integrative Activities. D-modules and Commutative Algebra are two different branches of algebra. A connection between them was established in a 1993 paper where D-modules were used to solve problems from Commutative Algebra. It is always exciting when two different fields converge. This enriches both fields by making available new tools to attack old problems. By now the range of applications of D-modules to commutative algebra has expanded well beyond that 1993 paper. On the other hand, these applications have motivated important developments in the theory of D-modules itself. Yet despite these developments many questions remain open. There have been many exciting developments in the world of D-modules whose implications for commutative algebra have not been fully explored; for instance, the Riemann-Hilbert correspondence and Berthelot's theory of arithmetic D-modules, just to name two. During the conference there will be three short lecture series on the Riemann-Hilbert correspondence, on arithmetic D-modules, and on applications of D-modules in commutative algebra. The conference will include a number of research talks as well as a moderated open problem session.Conference web site: https://sites.google.com/site/dmodulesincommutativealgebra/home