Syzygies in Berlin

“Syzygies in Berlin”研讨会将于 2013 年 5 月 27 日至 31 日在德国柏林举行，将汇集早期和高级数学家，研究经典结果以及围绕自由解析、正则性和 syzygies 的开放问题。这个经典领域在过去十年中经历了复兴，这在很大程度上得益于计算机代数计算，特别是 NSF 资助的计算机代数软件包 Macaulay2。该研讨会将围绕三个短期课程展开，由 D. Eisenbud（伯克利）、H. Schenck（厄巴纳-香槟）和 F.-O. 主持。施赖尔（萨尔州）。这些顶尖专家也因其教师的热情和高效而闻名。除了上述短期课程外，三场特邀讲座将重点介绍该领域的最新发展。这些讲座的潜在演讲者有：Christine Berkesch（杜克大学）、Diane Maclagan（英国华威大学）和 Irena Peeva（康奈尔大学）。本次研讨会将汇集代数几何领域的年轻研究人员和高级领导者。代数几何是研究多项式方程与构成方程解的几何对象之间相互作用的领域：一个熟悉的例子可能是方程 y=x^2，其解集在平面中形成抛物线。代数几何领域在纯数学和应用数学中都发挥着重要作用，所涉及的问题范围从纯理论（弦理论）到应用（信号处理、几何建模和计算机辅助设计）。 NSF 对该提案的资助与德国数学协会提供的支持相匹配，并为 10 名博士生提供了差旅费支持。学生和博士后，以及十五名参与者的住宿支持，以及两名受邀讲师的旅行和住宿支持。 更多信息可在会议网站上找到：http://syzygies.math.fu-berlin.de

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