Theory and Applications of Syzygies

这笔旅费补助金支持美国研究生和其他早期职业数学家参加 2015 年 7 月 1 日至 3 日在德国萨尔布吕肯举行的国际会议“Syzygies 的理论与应用”。会议的中心议题是数学中的 syzygies 研究，涉及多项式矩阵。 这类矩阵出现在纯数学和应用数学中，因此关于 syzygies 的研究可以应用于许多领域，包括计算代数和代数几何。 这次会议将为初级数学家提供一个绝佳的机会，让他们了解这些领域的重大新进展，并寻求新的研究问题来探索。会议汇集了多个领域的 syzygies 和相关主题的领先专家，并将重点介绍 syzygies 研究的许多最新突破。 由于其规模相对适中，这次会议为众多顶尖的 syzygies 研究人员提供了一个独特的机会，让他们齐聚一堂，讨论新研究的途径。 此外，由于 syzygies 的许多突破性成果发生在多个领域的交叉点，因此本次会议为刺激新的合作或研究途径提供了巨大的潜力。 欲了解更多详细信息，请参阅会议网站 http://www.math.uni-sb.de/ag-schreyer/conference/ 。

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/ .