Bluegrass Algebra Conference

蓝草代数会议

• 批准号: 0313597
• 负责人: Alberto Corso
• 金额: $ 1万
• 依托单位: University of Kentucky Research Foundation
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 2003
• 资助国家: 美国
• 起止时间: 2003-03-15 至 2004-02-29
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=0313597&HistoricalAwards=false
• 关键词: Bluegrass; Algebra; Conference

The investigators are organizing at the University of Kentucky the Bluegrass Algebra Conference (April 12-13, 2003) in addition to the third Hayden-Howard lecture delivered by Professor Craig Huneke on April 11, 2003. The lecture honors the contributions of UK faculty members Thomas Hayden and Henry Howard, by bringing an outstanding mathematician to the University of Kentucky each year to deliver a colloquium lecture on research at the forefront of modern Mathematics. The additional conference will consist of ten lectures - accessible to an audience of graduate studens - given by internationally known mathematicians working in Commutative Algebra and Algebraic Geometry: Prof. Shreeram Abhyankar (Purdue), Prof. Stephen Dale Cutkosky (Columbia, Missouri), Prof. Shankar Dutta (Urbana-Champaign), Prof. William Heinzer (Purdue), Prof. Melvin Hochster (Michigan), Prof. Joseph Lipman (Purdue), Prof. Juan Migliore (Notre Dame), Prof. Claudia Polini (Notre Dame), Prof. Bernd Ulrich (Purdue), Prof. Wolmer Vasconcelos (Rutgers). Among the areas to be covered we list: resolutions of singularities, liaison theory, Hilbert functions, tight closure and its applications. We propose that at least 20 graduate students and young researchers within three years from their Ph.D. receive funds to support their participation in these events. The amount requested will be sufficient for travel as well as local expenses.Commutative Algebra is of central importance among the various branches of Modern Algebra because of the power and efficiency of its structures, which put it in contact with a variety of disciplines, such as Computational Algebra, Algebraic Geometry, Control Theory, and Robotics. During the academic year 2002-03, Commutative Algebra is also receiving particular attention because of a year long program, which is currently held at the Mathematical Sciences Research Institute in Berkeley under the direction of Professor Huneke. These facts have led the Mathematics Department at the University of Kentucky to select Professor Huneke to deliver the third Hayden-Howard lecture. There are also at least three long term goals that we expect to achieve by organizing the additional Bluegrass Algebra Conference. In first place, we are seeking to increase the collaboration among the strong Algebra groups at nearby major institutions. Our second goal is to encourage and foster scholarly interests within the smaller Algebra groups at the regional institutions in the Commonwealth of Kentucky. Finally, we are seeking to expose ourgraduate students to current trends of research in Algebra and at the same time have them interact with fellow graduate students at other institutions. It is worth recalling that the Department of Mathematics at UK has a successful history in training a large number of students in Algebra.

研究人员正在肯塔基州大学组织蓝草代数会议（2003年4月12日至13日），此外还有克雷格·胡内克教授于2003年4月11日发表的第三次海登-霍华德讲座。讲座荣誉的贡献，英国教师托马斯海登和亨利霍华德，使一位杰出的数学家到肯塔基州大学，每年提供一个座谈会讲座研究在现代数学的前沿。额外的会议将包括10个讲座-研究生观众访问-由国际知名的数学家在交换代数和代数几何工作：Shreeram Abhyankar教授（普渡大学），Stephen Dale Cutkosky教授（哥伦比亚，密苏里州），Shankar Dutta教授（Urbana-Champaign），Prof. William Heinzer（Purdue），Prof.（密歇根州），教授约瑟夫·利普曼（普渡大学），教授胡安Migliore（圣母大学），教授克劳迪娅Polini（圣母大学），教授贝恩德乌尔里希（普渡大学），教授沃尔默Vasconcelos（罗格斯大学）。在所涵盖的领域中，我们列出：奇异性的解决方案，联络理论，希尔伯特函数，紧闭及其应用。我们建议至少20名研究生和年轻的研究人员在三年内从他们的博士学位。获得资金支持他们参加这些活动。交换代数是现代代数的各个分支中的核心重要性，因为它的结构的力量和效率，这使它与各种学科接触，如计算代数，代数几何，控制理论和机器人技术。在2002-03学年，交换代数也受到特别关注，因为一个为期一年的计划，这是目前在数学科学研究所在伯克利分校教授Huneke的指导下举行。这些事实导致数学系在肯塔基州大学选择教授Huneke提供第三海登霍华德讲座。还有至少三个长期目标，我们希望通过组织额外的蓝草代数会议实现。首先，我们正在寻求增加附近主要机构的强大代数组之间的合作。我们的第二个目标是鼓励和促进学术兴趣在较小的代数组在区域机构在联邦肯塔基州。 最后，我们正在努力让我们的研究生接触到代数研究的当前趋势，同时让他们与其他机构的研究生进行互动。值得一提的是，英国数学系在培养大量代数学生方面有着成功的历史。