Mathematical Sciences: NSF/CBMS Regional Conference in the Mathematical Sciences Tight Closure, Big Cohen-Macaulay Algebras and Uniform Artin Rees Theorem, June 25-29, 1995

数学科学：NSF/CBMS 数学科学紧闭合、大科恩-麦考利代数和统一 Artin Rees 定理区域会议，1995 年 6 月 25-29 日

• 批准号: 9414514
• 负责人: Joseph Brennan
• 金额: $ 2.5万
• 依托单位: North Dakota State University Fargo
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 1995
• 资助国家: 美国
• 起止时间: 1995-01-01 至 1995-12-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=9414514&HistoricalAwards=false
• 关键词: Mathematical; Sciences; NSF; CBMS; Regional

NSF-CBMS Regional Conference Proposal #9414514 Joseph Brennan Abstract: Tight Closure, Big Cohen-Macaulay Modules and Uniform Artin-Rees The three topics listed in the title of these lectures have provided distinct yet suprisingly intertwined threads in commutative algebra. These lectures will provide a general presentation of these topics with a view towards examination of the relationship of the homological conjectures to the resolution of singularities, the Relation-Type conjecture, the strong uniform Artin-Rees conjecture, and the strong Macaulayification conjecture.

摘要：紧闭包、大Cohen-Macaulay模和均匀Artin-Rees这三个主题在交换代数中提供了截然不同但又令人惊讶地交织在一起的线索。这些讲座将提供这些主题的一般介绍，以考察同调猜想与奇点解的关系，关系型猜想，强一致Artin-Rees猜想和强Macaulayification猜想。