CONFERENCE ON D-MODULES IN COMMUTATIVE ALGEBRA

交换代数 D 模会议

• 批准号: 1506928
• 负责人: Gennady Lyubeznik
• 金额: $ 1.5万
• 依托单位: University of Minnesota-Twin Cities
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 2015
• 资助国家: 美国
• 起止时间: 2015-05-01 至 2016-04-30
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=1506928&HistoricalAwards=false
• 关键词: CONFERENCE; MODULES; COMMUTATIVE; ALGEBRA

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

题为“交换代数中的D模”的会议将于2015年8月10日至14日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，分享想法并开展合作，使交换代数学家了解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举行会议应该会提高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，主要是初级研究人员和研究生。该奖项由NSF国际和综合活动办公室共同资助。D-模与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，其中D-模被用来解决交换代数的问题。当两个不同的领域融合在一起时，总是令人兴奋的。这丰富了这两个领域提供新的工具来解决老问题。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，这些应用激发了D-模理论本身的重要发展。然而，尽管取得了这些进展，许多问题仍然悬而未决。在D-模的世界中有许多令人兴奋的发展，它们对交换代数的影响还没有被充分探索;例如，黎曼-希尔伯特对应和贝尔特洛的算术D-模理论，仅举两例。在会议期间，将有三个简短的系列讲座的黎曼-希尔伯特对应，算术D-模块，并在交换代数的D-模块的应用。会议将包括一系列的研究讲座以及一个主持的开放问题会议。会议网站：https://sites.google.com/site/dmodulesincommutativealgebra/home