Midwest Algebra, Geometry and their Interactions Conference; Notre Dame, IN; October 8-11, 2005

研究人员将于2005年10月8日至11日在圣达米德大学组织中西部代数、几何及其相互作用会议(MAGIC05)。会议将突出和展示最近在代数几何和交换代数领域所做的工作，但也将重点放在它们在邻近领域的应用和相互作用上。将特别注意将通常不在会议上互动的几何学家、代数学家和应用数学家等群体聚集在一起，并以这种方式产生新的合作。会议将以一系列全体讲座和平行会议的一些较短的讲座组织。在会议上顶尖专家将讨论的话题中，我们列出了：代数组合学、密码学和编码理论、联络理论、希尔伯特函数、希尔伯特格式、同调方法、数值方法、Rees代数、奇点分解、奇点理论、紧闭包和向量丛。我们将努力为研究生和博士后提供机会，让他们接触到这些领域的最新研究成果，并结识顶尖专家和他们的同行。我们强调，为了在不同群体的圣母大学学生和非学术社区中推广数学，大会将举办一场有关数学在日常生活中的重要性和无处不在的公开讲座，以加强这次会议。讲座将由贝恩德·斯图姆费尔斯教授主持。

The investigators are organizing the Midwest Algebra, Geometry andtheir Interactions Conference (MAGIC05) at the University of Notre Dameduring the period October 8-11, 2005. The meeting will highlight and showcase the recent work done in the areas of Algebraic Geometry and Commutative Algebra but it will also focus on their applications in and interactions with neighboring fields. Particular attention will be paid to bringing together groups, namely geometers, algebraists and applied mathematicians, who normally do not interact in conferences, and in this way generate new collaborations.The conference will be organized in a series of plenary lectures andsome shorter talks organized in parallel sessions. Among the topicsthat will be discussed by top experts at the conference, at a levelaccessible to an audience of graduate studens, we list: algebraiccombinatorics, cryptography and coding theory, liaison theory, Hilbertfunctions, Hilbert schemes, homological methods, numerical methods,Rees algebras, resolutions of singularities, singularity theory,tight closure, and vector bundles.We will strive to provide an opportunity for graduate students and researchers in postdoctoral positions to be exposed to the best recent work in these areas, and to become acquainted with the top experts as well as with their peers.We remark that in order to promote Mathematics among the diverse population of Notre Dame students as well as among the non-academic community, the conference will be enhanced by a public lecture on the importance and ubiquity of Mathematics in everyday life. The lecture will be delivered by Professor Bernd Sturmfels.