Workshop on Software and Applications of Numerical Algebraic Geometry

求解非线性多项式系统的软件的最新发展可能为许多科学家和工程师提供解决他们研究中的关键问题所需的工具。为了促进充分利用这些强大工具所需的培训，私人投资机构将于2016年5月23日至25日在圣母大学举办一次研讨会。除培训外，讲习班还将通过聚集不同的研究人员和软件开发人员交流知识和挑战，在数学科学和其他科学和工程领域之间提供交流。这些相互作用将促进应用程序中的实际研究，同时突出未来算法开发的需求。由于它们出现在科学和工程的许多领域，已经发展出几种求解多项式系统的方法。Bertini软件包正在用C和Python语言重新开发，以实现模块化和可脚本化，实现了求解和操作多项式系统的关键数值代数几何算法。本次研讨会将汇集大量的计算科学家和实践者，讨论软件、算法和数值代数几何应用方面的最新进展和当前的挑战。这一跨学科研讨会将包括小组讨论、贝尔蒂尼的动手演示，以及侧重于开发与参与者特殊兴趣相关的贝尔蒂尼模块的会议。

Recent developments in software for solving nonlinear polynomial systems may provide many scientists and engineers the tools needed to solve key problems in their research. To facilitate the training necessary to make best use of these powerful tools, the PIs will run a workshop May 23-25, 2016 at the University of Notre Dame. In addition to training, the workshop will also provide cross-fertilization between the mathematical sciences and other areas of science and engineering by bringing together a diverse group of researchers and software developers to exchange both knowledge and challenges. These interactions will spur practical research in applications while highlighting needs for future algorithm development. Since they arise in many areas of science and engineering, several approaches have been developed for solving polynomial systems. The software package Bertini, which is being redeveloped in C++ and Python for modularity and scriptability, implements key numerical algebraic geometric algorithms for solving and manipulating polynomial systems. This workshop will bring together a wide range of computational scientists and practitioners to discuss recent progress and current challenges in software, algorithms, and applications of numerical algebraic geometry. This interdisciplinary workshop will include small group discussions, hands-on demonstrations of Bertini, and sessions focused on developing Bertini modules related to participants' particular interests.