Nebraska Commutative Algebra Conference

这是一个支持于2005年5月7-9日在内布拉斯加大学林肯分校（UNL）举行的为期三天的交换代数会议的项目。本次会议的主要目标是帮助该领域的博士和研究生与经验丰富的研究人员会面，了解交换代数的最新发展，相互交流思想，并为未来的研究发展合作。主要的主题将是表示理论、同调代数、计算代数和与交换代数相互作用的理想理论。演讲者将被邀请讨论这些主题之间的联系。我们主要为目标参与者群体寻求支持：那些刚刚获得博士学位的人。学生、研究生或女性，以及来自代表性不足的群体或主要教学机构的教师。大部分讲座将对研究生开放，并将展示该学科的主要问题和技术。在过去的15年里，交换代数领域出现了激烈的、突破性的研究活动，这些活动迅速地改变了这一领域。在代数几何、编码理论、组合学、同伦理论、k理论和表示理论等不同领域的研究人员也有广泛的互动。提议的聚会将为代数学者提供一个相互交流和建立研究联系的机会；特别是目标参与者将从互动中受益，并从看到该领域的最新发展及其与其他领域的关系中受益。

This is a project to support a three-day commutative algebra conference at the University of Nebraska-Lincoln (UNL), May 7-9, 2005. The main goals of this conference will be to help recentPh.D.s and graduate students in the field to meet experienced researchers, to learnabout recent developments in commutative algebra, to exchange ideas with one another,and to develop collaborations for future research. The primary topics will be aspectsof representation theory, homological algebra, computational algebra and ideal theorythat interact with commutative algebra. Speakers will be invited to discuss connectionsamong these topics. We seek support primarily for a target group of participants: those who are recentPh.D.s, graduate students or women, as well as faculty from under-represented groups orprimarily teaching institutions. Most of the talks will be accessible to graduate studentsand will demonstrate the main problems and techniques in the discipline.Over the last fifteen years there has been intense and ground-breaking activity in commutative algebra, activity which has been rapidly transformingthe field. There is also extensive interaction with researchers in areas as diverse asalgebraic geometry, coding theory, combinatorics, homotopy theory, K-theory, and rep-resentation theory. The proposed gathering will provide an opportunity for algebraiststo interact and establish research connections with each other; in particular the targetedparticipants will benefit from the interaction and from seeing recent developments in thefield and its relationships with other areas.