Syzygies in Berlin

柏林的 Syzygies

• 批准号: 1244041
• 负责人: Henry Schenck
• 金额: $ 2.14万
• 依托单位: University of Illinois at Urbana-Champaign
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 2013
• 资助国家: 美国
• 起止时间: 2013-05-01 至 2015-04-30
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=1244041&HistoricalAwards=false
• 关键词: Syzygies; Berlin

The workshop "Syzygies in Berlin" will take place in Berlin, Germany on May 27-31, 2013 and will bring together early-stage and senior mathematicians to study classical results and open problems surrounding free resolutions, regularity, and syzygies. This classical area has undergone a renaissance in the past decade, aided in large part by computer algebra calculations, especially with the NSF funded computer algebra package Macaulay2. The workshop's will center around a trio of short courses, led by D. Eisenbud (Berkeley), H. Schenck (Urbana-Champaign), and F.-O. Schreyer (Saarlandes). These leading experts are also well known for their enthusiasm and effectiveness as teachers. In addition to the short courses above, three invited lectures will highlight recent developments in the field. Potential speakers for these lectures are: Christine Berkesch (Duke University), Diane Maclagan (Warwick University, England), and Irena Peeva (Cornell University).This workshop will bring together young researchers and senior leaders in the field of algebraic geometry. Algebraic geometry is a field which studies the interplay between polynomial equations and the geometric objects which constitute the solutions to the equations: a familiar example might be the equation y=x^2, whose set of solutions forms a parabola in the plane. The field of algebraic geometry plays a prominent role in both pure and applied mathematics, appearing in problems ranging from the purely theoretical (string theory) to applied (signal processing, geometric modeling and computer aided design). The NSF funding for the proposal matches support provided by the German Mathematical Association, and provides travel support for ten Ph.D. students and postdocs, as well as support for lodging for fifteen participants, as well as travel and lodging support for two of the invited lecturers. Additional information can be found on the conference website: http://syzygies.math.fu-berlin.de

研讨会“柏林的Syzygies”将于2013年5月27日至31日在德国柏林举行，并将召集早期和高级数学家，以研究围绕自由决议，规律性和Syzygies的经典成果和开放问题。在过去的十年中，这个古典区域已经进行了文艺复兴，在很大程度上是由计算机代数计算的，尤其是在NSF资助的计算机代数软件包MACAULAY2的情况下。该研讨会将围绕由D. Eisenbud（Berkeley），H。Schenck（Urbana-Champaign）和F.-O.领导的三门短期课程。 Schreyer（Saarlandes）。这些领先的专家还以其作为教师的热情和有效性而闻名。除了上面的简短课程外，三个邀请的讲座还将强调该领域的最新发展。这些讲座的潜在演讲者是：克里斯汀·伯克斯（Christine Berkesch）（杜克大学），黛安·麦克拉根（Diane Maclagan）（英格兰沃里克大学）和艾琳娜·佩瓦（Irena Peeva）（康奈尔大学）。这次讲习班将聚集在一起的年轻研究人员和代数几何领域的高级领导者。代数几何形状是一个研究多项式方程与构成方程解决方案的几何对象之间的相互作用的领域：一个熟悉的示例可能是方程y = x^2，其集合在平面中形成抛物线。代数几何形状领域在纯数学和应用数学中都起着重要的作用，在纯粹的理论（字符串理论）到应用的问题（信号处理，几何形状建模和计算机辅助设计）中出现。该提案的NSF资金与德国数学协会提供的支持相匹配，并为十个博士学位提供旅行支持。学生和博士后，以及为15名参与者提供住宿的支持，以及对两个受邀讲师的旅行和住宿支持。 其他信息可以在会议网站上找到：http：//syzygies.math.fu-berlin.de