NSF/CBMS Regional Conference in the Mathematical Sciences - Applications of Polynomial Systems - June 4-8, 2018

NSF/CBMS 数学科学区域会议 - 多项式系统的应用 - 2018 年 6 月 4-8 日

• 批准号: 1741730
• 负责人: Greg Friedman
• 金额: $ 3.5万
• 依托单位: Texas Christian University
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 2018
• 资助国家: 美国
• 起止时间: 2018-01-01 至 2018-12-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=1741730&HistoricalAwards=false
• 关键词: NSF; CBMS; Regional; Conference; Mathematical

This National Science Foundation award provides support for a CBMS Regional Conference in the Mathematical Sciences on the topic "Applications of Polynomial Systems," to be hosted at Texas Christian University in Fort Worth, TX, from June 4, 2018, to June 8, 2018. Sponsored by the Conference Board of the Mathematical Sciences, each five-day conference in this Regional Conference series features a distinguished lecturer who delivers ten lectures on a topic of important current research in one sharply focused area of the mathematical sciences; the lecturer subsequently prepares an expository monograph based upon these lectures. The principal lecturer for this conference is David A. Cox, the William J. Walker Professor of Mathematics at Amherst College.  Professor Cox is a world-renowned master expositor and award-winning author of several popular and highly-cited books in the mathematical area of applied algebraic geometry. While this field of mathematics dates back at least as far as the 18th century, developments in the affordability of computers with substantial memory and parallel processing power have led to a modern renaissance in both practical applications and new computational questions. Professor Cox's lectures will discuss historical developments of the area in light of modern perspectives, leading up to current research and applications to such diverse fields as computer aided design, rigidity of mechanical linkages, and chemical reaction networks. Each pair of lectures by Professor Cox will develop a chosen topic and be followed by a further lecture by a specialist he has hand-picked to provide a deeper look at the forefront of current research on that topic. Additional conference activities will help participants develop a broad and deep understanding of current research problems while also providing opportunities for young researchers and members of underrepresented groups in mathematics to interact with leaders in the area and with each other.Professor Cox will lecture on the study of polynomial systems via methods of algebraic geometry and commutative algebra, including 1) a history of results underpinning computational methods in algebraic geometry and commutative algebra; 2) modern computational approaches to solving polynomial systems and recent advances; and 3) a selection of current applications, with an eye toward helping participants solve their own applied problems. Specific lecture pair topics will include Elimination Theory, Polynomial Systems in the Real World, Geometric Modeling, Geometric Constraint Theory, and Chemical Reaction Networks. Supplementary conference activities will include a poster session, a software demonstration, a panel discussion, and a problem session designed to help new researchers enter the field through active participation. The conference is also anticipated to have significant regional impact by bolstering collaboration among the strong concentration of researchers in applied and computational algebraic geometry in the Texas area. The conference web site can be found at http://faculty.tcu.edu/gfriedman/CBMS2018/.

该国家科学基金会奖为数学科学的CBMS区域会议提供了支持，该主题是关于“多项式系统的应用”的主题，将于2018年6月4日至2018年6月8日在德克萨斯州德克萨斯州沃思堡的德克萨斯基督教大学举办。数学科学的焦点区域；讲师随后根据这些讲座准备了说明性专着。这次会议的主要讲师是阿默斯特学院数学教授戴维·A·考克斯（David A. Cox）。考克斯教授是世界知名的大师说明器，也是屡获殊荣的作者，他是应用代数几何学数学领域的几本流行和引用的书籍。尽管这种数学领域至少可以追溯到18世纪，但具有实质记忆和并行处理能力的计算机负担能力的发展导致了实用应用和新计算问题的现代文艺复兴。考克斯教授的讲座将根据现代观点讨论该领域的历史发展，从而导致当前的研究和应用于计算机辅助设计，机械连接的僵化以及化学反应网络等潜水领域。考克斯教授的每对讲座都将开发一个选择的主题，然后由他手工挑选的专家进行进一步的演讲，以更深入地了解当前有关该主题的研究的最前沿。其他会议活动将帮助参与者对当前的研究问题有广泛的深入了解，同时还为年轻的研究人员和数学中代表性不足的群体的成员与该地区和彼此的领导人互动，并与彼此之间的领导者进行互动。交换代数； 2）解决多项式系统和最新进展的现代计算方法； 3）当前应用程序的选择，以帮助参与者解决自己的应用问题。特定的讲座对主题将包括消除理论，现实世界中的多项式系统，几何建模，几何约束理论和化学反应网络。补充会议活动将包括海报会议，软件演示，小组讨论以及旨在帮助新研究人员参加会议的问题会议，预计还将通过加强在德克萨斯地区的应用程序和计算代数几何学上的强大集中研究人员的协作，从而产生重大的区域影响。会议网站可以在http://faculty.tcu.edu/gfriedman/cbms2018/上找到。