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Syzygies in Berlin

Syzygies in Berlin
柏林的 Syzygies
批准号:
1244041
负责人:
Henry Schenck
金额:
$2.14万
依托单位国家:
美国
项目类别:
Standard Grant
财政年份:
2013
资助国家:
美国
项目状态:
已结题
起止时间:
2013-05-01 至 2015-04-30
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中文摘要
翻译
“柏林Syzygies”研讨会将于2013年5月27日至31日在德国柏林举行,将汇集早期数学家和高级数学家,研究围绕自由解析、正则性和Syzygies的经典结果和开放问题。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(厄巴纳-香槟)和f - o领导。Schreyer(萨尔)。这些顶尖的专家也以他们作为老师的热情和效率而闻名。除了上述短期课程外,还有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:克里斯汀·伯克什(杜克大学)、黛安·麦克拉根(英国华威大学)和伊雷娜·皮耶娃(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。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占有突出地位,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对该提案的资助与德国数学协会提供的资助相匹配,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。更多信息请访问会议网站:http://syzygies.math.fu-berlin.de
英文摘要
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
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Computational Algebra and Applications
  • 批准号:
    2006410
  • 项目类别:
    Standard Grant
  • 资助金额:
    $20.0万
  • 财政年份:
    2021
  • 负责人:
    Henry Schenck
  • 依托单位:
Symbolic Computation Meets Computational Geometry and Data Approximation
  • 批准号:
    2048906
  • 项目类别:
    Standard Grant
  • 资助金额:
    $15.0万
  • 财政年份:
    2021
  • 负责人:
    Henry Schenck
  • 依托单位:
Symbolic Computation Meets Computational Geometry and Data Approximation
  • 批准号:
    1818646
  • 项目类别:
    Standard Grant
  • 资助金额:
    $15.0万
  • 财政年份:
    2018
  • 负责人:
    Henry Schenck
  • 依托单位:
Systemic risk and topology
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