U.S.-Italy Cooperative Workshop on the Theoretical and Computational Aspects of the Hilbert Function

小行星9214121 该奖项将支持一个联合的美国-关于希尔伯特函数的理论和计算方面的意大利讲习班，由康奈尔大学Bernd Sturmfels和意大利热那亚大学Lorenzo Robbiano组织。 这个两国讲习班的目的是通过少数选定的参与者讨论和比较希尔伯特函数的不同方面来推进这一主题领域。 研讨会将有25名与会者，其中10名将是意大利人，以及来自康奈尔大学和其他美国机构的10名研究生和博士后研究员。 重要的公开问题在理论的希尔伯特函数将得到解决，包括结构的零维计划，算法计算希尔伯特函数和有限的自由决议，希尔伯特函数的代数与特殊的结构性质，组合方法和多面体不变量的投影品种。 与会者的论文将在一个完善的专著系列中出版。 ***

9214121 Sturmfels This award will support a joint U.S.-Italian workshop on the theoretical and computational aspects of Hilbert functions, organized by Bernd Sturmfels, Cornell University, and Lorenzo Robbiano, University of Genoa, Italy. The objective of this binational workshop will be to advance this subject area through discussion and comparison of the different aspects of Hilbert functions by a small number of selected participants. There will be 25 workshop participants, ten of which will be Italians, as well as ten graduate students and postdoctorate fellows from Cornell and other U.S. institutions. Important open problems in the theory of Hilbert functions will be addressed, including the structure of zero-dimensional schemes, algorithms for computing Hilbert functions and finite free resolutions, Hilbert functions of algebras with special structural properties, and combinatorial methods and polyhedral invariants of projective varieties. The participants' papers will be published in a well-established monograph series. ***