Commutative Algebra: Connections with Algebraic Topology and Representation Theory, May 17-22, 2008, Lincoln, Nebraska

交换代数：与代数拓扑和表示论的联系，2008 年 5 月 17-22 日，内布拉斯加州林肯

• 批准号: 0802900
• 负责人: Roger Wiegand
• 金额: $ 2.5万
• 依托单位: University of Nebraska-Lincoln
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 2008
• 资助国家: 美国
• 起止时间: 2008-02-01 至 2009-01-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=0802900&HistoricalAwards=false
• 关键词: Commutative; Algebra; Connections; Algebraic; Topology

ABSTRACT The conference will highlight recent developments in commutative algebra, as well as its interactions with algebraic topology, group cohomology and representation theory. The conference will take place May 17-22, 2008 at the University of Nebraska-Lincoln. The choice of topics and the selection of speakers recognizes the research contributions of Luchezar Avramov, as well as his many contributions to his students and postdoctoral mentees. The conference will feature 20 one-hour lectures by internationally recognized researchers, plus 9-10 shorter talks by mathematically younger participants. In order to avoid parallel sessions and to allow ample time for informal mathematical interaction among the participants, the number of talks will be limited to 30. About 130 participants are expected from outside the University of Nebraska, in addition to about 25 local participants. Partial support for travel and lodging will be provided for domestic participants, with emphasis on mathematically young participants (early career and graduate students). Participation by women and by members of underrepresented minorities will be particularly encouraged. The field of commutative algebra is in a period of profound transformation. While its roots in algebraic geometry continue to supply tools, problems and intuition to commutative algebra itself, new connections to other areas have been discovered in the last twenty years. Currently commutative algebraists are involved in intense interactions with researchers in homotopy theory, cohomology of finite groups and representation theory. The conference will feature one-hour talks by twenty top researchers, eleven of them in commutative algebra per se, five in algebraic topology and rational homotopy theory, and four in representation theory and group cohomology. Many other researchers, established leaders, recent Ph.D.'s and advanced graduate students, will join these twenty main speakers for a week of intense mathematical interaction. One can expect many new insights, collaborations and discoveries as a result of this gathering. The conference will help recent Ph.D.'s and graduate students to (i) interact with leading researchers in algebra, (ii) learn about recent developments in commutative algebra and related fields, (iii) exchange ideas with one another and (iv) develop collaborations for future research. Graduate students will gain insights and perspectives that may be lacking at their home institutions. Postdoctoral scholars, recent Ph.D.'s, and researchers at institutions where teaching is the primary focus, will bring to their professions an enhanced enthusiasm for research and a better understanding of important recent developments in algebra.

会议将突出交换代数的最新发展，以及它与代数拓扑，群上同调和表示论的相互作用。会议将于2008年5月17日至22日在内布拉斯加大学林肯分校举行。主题的选择和演讲者的选择认可了Luchezar Avramov的研究贡献，以及他对学生和博士后学员的许多贡献。会议将有20个由国际知名研究人员进行的一小时讲座，以及9-10个由数学年轻参与者进行的简短演讲。为了避免平行会议，并让与会者有足够的时间进行非正式的数学互动，讲座的数量将限制在30场。预计约有130名与会者来自内布拉斯加大学以外，此外还有约25名当地与会者。将为国内参与者提供部分差旅和住宿支助，重点是数学上年轻的参与者（早期职业和研究生）。 将特别鼓励妇女和代表性不足的少数群体成员的参与。交换代数领域正处于一个深刻变革的时期。虽然它在代数几何中的根源继续为交换代数本身提供工具，问题和直觉，但在过去的二十年中，与其他领域的新联系已经被发现。目前，交换代数学家与同伦理论、有限群上同调和表示论的研究者有着密切的联系。会议将有20名顶级研究人员进行一小时的演讲，其中11人在交换代数本身，5人在代数拓扑和有理同伦理论，4人在表示论和群上同调。许多其他研究人员，建立领导者，最近的博士学位。的和高级研究生，将加入这二十个主要发言人的一个星期的激烈的数学互动。人们可以期待许多新的见解，合作和发现作为这次聚会的结果。这次会议将有助于最近的博士学位。的和研究生（i）互动与领先的研究人员在代数，（ii）了解最近的发展，交换代数和相关领域，（iii）相互交流思想和（iv）发展合作，为未来的研究。 研究生将获得在他们的家乡机构可能缺乏的见解和观点。 博士后学者，最近的博士学位。的，和研究人员在机构的教学是主要的重点，将带来他们的职业增强的热情，研究和更好地了解重要的最新发展代数。