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

会议将着重介绍交换代数的最新发展，以及它与代数拓扑学、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日在内布拉斯加州大学林肯分校举行。主题的选择和演讲者的选择认可了Luchezar Avramov的研究贡献，以及他对他的学生和博士后导师的许多贡献。会议将由国际公认的研究人员进行20次一小时的演讲，以及9-10次较年轻的数学参与者的较短演讲。为了避免平行开讲，并为与会者之间的非正式数学互动留出充足的时间，演讲次数将限制在30次。预计将有大约130名来自内布拉斯加大学以外的参与者，此外还有大约25名当地参与者。将为国内参与者提供部分旅行和住宿支助，重点是年轻的数学参与者(职业生涯早期和研究生)。将特别鼓励妇女和代表人数不足的少数群体成员参与。交换代数领域正处于一个深刻变革的时期。虽然它植根于代数几何继续为交换代数本身提供工具、问题和直觉，但在过去的二十年里，它与其他领域的新联系已经被发现。目前，交换代数学家与研究人员在同伦论、有限群的上同调论和表示论等领域有着密切的联系。这次会议将有20名顶尖研究人员进行一小时的演讲，其中11人是交换代数本身，5人是代数拓扑和有理同伦理论，4人是表示论和群上同调。许多其他研究人员、知名领导者、新近获得博士学位的S和高级研究生将加入这20位主要演讲者的行列，进行为期一周的激烈数学互动。人们可以期待这次聚会带来许多新的见解、合作和发现。会议将帮助新近获得博士学位的S和研究生们(I)与代数领域的顶尖研究人员互动，(Ii)了解交换代数及其相关领域的最新发展，(Iii)彼此交流思想，(Iv)为未来的研究发展合作。研究生将获得他们家乡机构可能缺乏的洞察力和观点。博士后学者、新近获得博士学位的S，以及以教学为主要关注点的机构的研究人员，将为他们的专业带来更高的研究热情，并更好地了解代数领域的重要近期发展。

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.