Bluegrass Algebra Conference

研究人员正在肯塔基大学组织蓝草代数会议（2003年4月12日至13日），此外还有Craig Huneke教授于2003年4月11日发表的第三次Hayden-Howard讲座。该讲座旨在表彰英国教师托马斯·海登和亨利·霍华德的贡献，每年将一位杰出的数学家带到肯塔基大学，就现代数学的前沿研究发表学术讲座。额外的会议将包括十场面向研究生听众的讲座，由研究交换代数和代数几何的国际知名数学家主讲：Shreeram Abhyankar教授（普渡大学）、Stephen Dale Cutkosky教授（密苏里州哥伦比亚大学）、Shankar Dutta教授（厄巴纳-香槟大学）、William Heinzer教授（普渡大学）、Melvin Hochster教授（密歇根大学）、Joseph Lipman教授（普渡大学）、Juan Migliore教授（圣母大学）、Claudia Polini教授（圣母大学）、Bernd Ulrich教授（普渡大学）、Wolmer Vasconcelos教授（罗格斯大学）。我们列出了将涉及的领域：奇点的解析、连接理论、希尔伯特函数、紧闭及其应用。我们建议至少20名研究生和青年研究人员在博士毕业后的三年内获得资助，以支持他们参与这些活动。所要求的数额将足以支付旅费和当地费用。交换代数在现代代数的各个分支中是至关重要的，因为它的结构的力量和效率，这使它与各种学科，如计算代数，代数几何，控制理论和机器人技术联系在一起。在2002-03学年，交换代数也受到了特别的关注，因为一个为期一年的项目，目前在伯克利数学科学研究所举行，由Huneke教授指导。这些事实使得肯塔基大学数学系选择了Huneke教授来进行第三次海登-霍华德讲座。另外，我们还希望通过组织额外的Bluegrass Algebra会议来实现至少三个长期目标。首先，我们正在寻求增加附近主要机构中强大的代数小组之间的合作。我们的第二个目标是鼓励和培养肯塔基州联邦地区机构中较小的代数小组的学术兴趣。最后，我们正在寻求让我们的研究生了解代数研究的最新趋势，同时让他们与其他机构的研究生进行互动。值得回顾的是，英国数学系在培养大量代数学生方面有着成功的历史。

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.