Computational Initiative in Core Mathematics

密歇根大学数学系 我将聘请一名技术程序员，其职责将是 协助教职员工和研究生进行研究- 相关的编程任务，特别是数学 兴趣，并执行例行系统管理任务， 太阳和阿波罗的电脑 此外，该部将 购买其核心SUN系统的维护合同。 总结了主要研究者的研究 下图： 组合学小组将使用SUN工作站进行研究 经典群及其Weyl群 方向将包括 Sn上的Kazhdan-Lusztig表示的研究 操作表示的算法的比较 古典团体 非线性波动小组将继续进行几个项目 以偏微分方程的研究为中心， 与波的传播有关。 此外，一台计算机 代数程序将被用来帮助做计算与 矩阵值代数函数，这是必要的解决一个 大差分方程组。 数论小组将使用计算设备， 数值逼近p-adic L-函数的特殊值， 通过符号操作解决平面曲线奇异性， 计算有理点的倍数的坐标为 亏格2曲线的雅可比行列式。

The Department of Mathematics at the University of Michigan will hire a technical programmer whose responsibilities will be to assist faculty members and graduate students in research- related programming tasks which are special to mathematical interests, and to perform routine system administration tasks for the SUN and APOLLO computers. In addition, the Department will purchase a maintenance contract for its core SUN system. The research of the principal investigators is summarized below: The combinatorics group will use SUN work-stations to study classical groups and their Weyl groups. Directions will include a study of the Kazhdan-Lusztig representations on Sn and a comparison of algorithms for manipulating representations of classical groups. The nonlinear wave motion group will pursue several projects centered on the study of partial diffferential equations that are associated with wave propagation. In addition, a computer algebra program will be used to assist in doing computations with matrix-valued algebraic functions which are necessary to solve a large set of difference equations. The number theory group will use computing equipment to numerically approximate the special values of p-adic L-functions, resolve plane curve singularities by symbolic manipulation and calculate the coordinates of multiples of rational points as Jacobians of curves of genus two.