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

9214121 Sturmfels该奖项将支持由康奈尔大学的Bernd Sturmfels和意大利热那亚大学的Lorenzo Robbiano组织的关于希尔伯特函数的理论和计算方面的美国和意大利联合研讨会。这一两国讲习班的目的将是通过少数选定的与会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人参加，其中10人将是意大利人，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。将讨论希尔伯特函数理论中的重要公开问题，包括零维格式的结构，计算希尔伯特函数和有限自由分解的算法，具有特殊结构性质的代数的希尔伯特函数，以及射影簇的组合方法和多面体不变量。与会者的论文将以成熟的专著系列出版。***

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. ***