Theory and Applications of Syzygies

这笔旅行补助金支持在美国的研究生和其他早期职业数学家参加2015年7月1-3日在德国萨尔布吕肯举行的国际会议《协同学的理论和应用》。会议的中心议题是数学中合子的研究，其中涉及以多项式为输入的矩阵。这类矩阵出现在纯数学和应用数学中，因此关于合集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极好的机会，让他们了解这些领域的重大新发展，并寻找新的研究问题进行探索。会议汇集了一系列领域的合子及其相关主题的领先专家，它将突出显示合子研究的许多最新突破。由于其规模相对适中，这次会议为这一系列关于合子的顶级研究人员提供了一个独特的机会，他们齐聚一堂，讨论新的研究途径。此外，由于许多关于合子的开创性成果都是在多个领域的交叉点上取得的，这次会议提供了很高的潜力来刺激新的合作或研究途径。欲了解更多详情，请访问会议网站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/ .