Theory and Applications of Syzygies

Syzygies的理论与应用

• 批准号: 1501249
• 负责人: Daniel Erman
• 金额: $ 1.96万
• 依托单位: University of Wisconsin-Madison
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 2015
• 资助国家: 美国
• 起止时间: 2015-05-15 至 2017-04-30
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=1501249&HistoricalAwards=false
• 关键词: Theory; Applications; Syzygies

This travel grant supports the participation of US-based graduate students and other early career mathematicians in the international conference "Theory and Application of Syzygies" held in Saarbrucken, Germany on July 1-3, 2015. The central topic of the conference is the study of syzygies in mathematics, which involves matrices whose entries are polynomials. These kinds of matrices arise throughout pure and applied mathematics, and thus research about syzygies can be applied in many fields, including computational algebra and algebraic geometry. The meeting will provide an excellent opportunity for junior mathematicians to learn about major new developments in these fields and to seek new research problems to explore.The conference brings together leading experts on syzygies and related topics across a range of fields, and it will highlight many of the recent breakthroughs in the study of syzygies. Due to its relatively moderate size, this conference offers a unique opportunity for this array of top researchers on syzygies to come together and discuss avenues for new research. In addition, since many groundbreaking results on syzygies take place at an intersection between multiple fields, this conference offers a high potential to spur new collaborations or avenues for research. For more details, see the conference web site http://www.math.uni-sb.de/ag-schreyer/conference/ .

这项旅行补助金支持美国的研究生和其他早期职业数学家参加国际会议的“ Syzygies的理论和应用”，于2015年7月1日至3日在德国萨尔布鲁基举行。会议的核心主题是对数学中的序列学研究的研究，涉及矩阵的矩阵。 这些类型的矩阵在整个纯数学和应用数学过程中都出现，因此有关Syzygies的研究可以应用于许多领域，包括计算代数和代数几何形状。 这次会议将为初级数学家提供一个绝佳的机会，以了解这些领域的主要新发展，并寻求新的研究问题以探索。该会议汇集了各个领域的Syzygies和相关主题的主要专家，它将重点介绍Syzygies研究中最近的许多突破。 由于其相对适度的规模，该会议为这批Syzygies的顶级研究人员提供了一个独特的机会，并讨论了新研究的途径。 此外，由于Syzygies的许多开创性结果是在多个领域之间的交汇处进行的，因此该会议为刺激新的合作或研究途径提供了很高的潜力。 有关更多详细信息，请参见会议网站http://www.math.uni-sb.de/ag-schreyer/conference/。