Syzygies in Berlin

“柏林的合子”研讨会将于2013年5月27-31日在德国柏林举行，将聚集早期和资深数学家，研究围绕自由分解、正则性和合子的经典结果和公开问题。这一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。研讨会将围绕三个短期课程展开，由D.Eisenbud(伯克利)、H.Schenck(Urbana-Champaign)和F.-O.Schreyer(Saarlandes)领衔。这些顶尖的专家也以他们作为教师的热情和有效性而闻名。除上述短期课程外，三个受邀讲座将着重介绍该领域的最新发展。这些讲座的潜在演讲者是：Christine Berkech(杜克大学)、Diane Maclagan(英国华威大学)和Irena Peeva(康奈尔大学)。这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人。代数几何是一个研究多项式方程和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，它的一组解在平面上形成一条抛物线。代数几何领域在纯数学和应用数学中都扮演着重要的角色，出现在从纯理论(弦理论)到应用(信号处理、几何建模和计算机辅助设计)的各种问题中。NSF为该提案提供的资金相当于德国数学协会提供的支持，并为10名博士生和博士后提供旅行支持，为15名参与者提供住宿支持，以及为两名受邀讲师提供旅行和住宿支持。欲了解更多信息，请访问会议网站：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