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日在圣母大学组织中西部代数、几何及其相互作用会议（MAGIC05）。会议将突出和展示代数几何和交换代数领域的最新工作，但也将关注它们在邻近领域的应用和相互作用。将特别注意把通常不在会议上相互作用的小组，即几何学家、代数家和应用数学家聚集在一起，并以这种方式产生新的合作。会议将以一系列全体演讲和在平行会议上组织的一些简短会谈的形式组织。在会议上将由顶尖专家讨论的主题中，我们列出了：代数组合、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、奇点解析、奇点理论、紧闭和向量束。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最新的研究成果，并结识顶级专家和他们的同行。我们注意到，为了在圣母大学的学生和非学术团体中促进数学的发展，会议将通过一个关于数学在日常生活中的重要性和普遍性的公开讲座来加强。讲座将由Bernd Sturmfels教授主讲。

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.