Mathematical Sciences REU Site: Computationalc Geometry Algebraic Geometry

数学科学 REU 网站：计算几何代数几何

• 批准号: 9415268
• 负责人: Reinhard Laubenbacher
• 金额: $ 1.2万
• 依托单位: New Mexico State University
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 1994
• 资助国家: 美国
• 起止时间: 1994-12-15 至 1995-11-30
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=9415268&HistoricalAwards=false
• 关键词: Mathematical; Sciences; REU; Site; Computationalc

9415268 Laubenbacher The investigator organizes a five-day symposium on Groebner bases and convex polytopes, featuring a series of ten lectures by Professor Bernd Sturmfels describing some of the central results about Groebner bases of toric ideals and their application to problems in integer programming and statistics. These lectures are complemented by a concurrent contributed paper session. Polynomial equations are important in algebraic geometry and commutative algebra. Moreover, many scientific, economic and engineering problems can be modeled by polynomial equations, and polynomials arise in computational statistics, integer programming, and a variety of other optimization problems. The theory of Groebner bases provides the foundation for many algorithms used in the analysis of such equations. So the theory plays a significant role not just in basic research but also in the solution of problems of strategic interest. Increasingly, this theory is becoming part of the standard curriculum at U.S. universities. Thus, the subject the conference is of interest to students, teachers and researchers in several disciplines, including mathematics, engineering, computer science, and operations research.

小行星9415268 调查员组织了为期五天的研讨会Groebner基地和凸多面体，具有一系列的10讲座教授贝恩德Sturmfels描述的一些核心成果Groebner基地的环面理想及其应用问题的整数规划和统计。 这些讲座是由一个并行贡献论文会议的补充。 多项式方程在代数几何和交换代数中有着重要的意义。 此外，许多科学、经济和工程问题都可以用多项式方程建模，而多项式出现在计算统计、整数规划和各种其他优化问题中。 Groebner基理论为分析此类方程中使用的许多算法提供了基础。 因此，该理论不仅在基础研究中，而且在解决战略利益问题方面发挥着重要作用。 这一理论正逐渐成为美国大学标准课程的一部分。 因此，会议的主题引起了数学、工程、计算机科学和运筹学等多个学科的学生、教师和研究人员的兴趣。