Workshop on the History of Algebra in the Nineteenth and Twentieth Centuries

项目摘要SES#0216982十九世纪和二十世纪代数史研讨会加州大学伯克利分校数学科学研究所迈克尔·辛格建议于2003年春季在加州大学伯克利分校数学科学研究所举办研讨会。这次会议在该研究所为期一学期的交换代数会议上达到了高潮，聚集了领先的数学史学家和数学家，就相关主题进行了为期五天的讨论。这次研讨会代表着该研究所的一个重要转变，该研究所通常专注于纯粹的数学企业。组织者是杰里米·J·格雷(开放大学数学科学史中心)和共同派、凯伦·亨格·帕肖尔(弗吉尼亚大学历史系和数学系)。研讨会应包括两个部分：讲座和主持讨论。大约20个小时的讲座将由知名研究人员、更初级的学者和高级研究生在5天的时间里进行。每堂课之后都有充足的时间提问和讨论。每天结束时，历史学家和访问MSRI的数学家之间就现代代数史上的关键问题进行对话。要分析的主题包括：o大卫·希尔伯特对现代代数的贡献，他对Dedekin和Kronecker思想的重新研究，以及他对这一主题的新提法在指导后续研究中的作用；o艾美·诺特工作的起源及其后来的发展；o代数思想从德国到英国、法国和美国的传播和发展；o交换代数、代数几何和代数数论之间联系的重要性和本质；o现代代数的哲学和教学；和十九世纪和二十世纪初现代代数的制度化。这个研讨会为数学史学家和数学家之间的互动提供了一个独特的论坛，他们是数学史研究的主要受众之一。此外，研讨会将使我们不仅在理解现代代数在十九世纪和二十世纪的演变方面向前迈进一大步，而且在确定正在进行的现代数学史研究的共同议程方面也向前迈进了一大步。这两个目标都将在短期内通过讲习班上的互动来实现，从长远来看，将通过出版一本带有明确史学成分的全书卷来实现。

Project AbstractSES # 0216982 Workshop on the History of Algebra in the Nineteenth and Twentieth CenturiesMichael Singer, Mathematical Sciences Research Institute, Cal -BerkeleyKaren Parshall, University of Virginia This proposal is for a workshop at the Mathematical Sciences Research Institute at the University of California at Berkeley in spring 2003. The conference, which culminates a semester-long focus at the Institute on commutative algebra, brings together leading historians of mathematics and mathematicians for a five-day discussion of relevant topics. This workshop represents an important departure for the institute, which normally focuses on purely mathematical enterprises. The organizers are Jeremy J. Gray (Centre for the History of the Mathematical Sciences, The Open University) and co-PI, Karen Hunger Parshall (Departments of History and Mathematics, University of Virginia). The workshop should have two components: lectures and moderated discussions. Some twenty, hour-long lectures are to be delivered over a five-day period by established researchers, more junior scholars, and advanced graduate students. Ample time for questions and discussion follows each lecture. Each day closes with a moderated discussion period for a dialogue between the historians and the mathematicians visiting MSRI about critical issues in the history of modern algebra. Among the topics to be analyzed are:o the contribution of David Hilbert to modern algebra, his re-working of the ideas ofDedekind and Kronecker, and the role of his new formulation of the subject in guidingsubsequent research;o the origins of Emmy Noether's work and its later developments;o the spread and development of algebraic thought from Germany to Britain, France, and the United States;o the importance and the nature of the connections between commutative algebra,algebraic geometry, and algebraic number theory;o the philosophy and the teaching of modern algebra; ando the institutionalization of modern algebra in the nineteenth and early twentiethcenturies.This workshop provides a unique forum for the interaction of historians of mathematics and mathematicians, who represent one of the primary audiences for research in the history of mathematics. Moreover, the workshop will allow us to take a major step forward not only in understanding the evolution of modern algebra in the nineteenth and twentieth centuries but also in defining a common agenda for on-going research in the history of modern mathematics. Both of these objectives will be accomplished in the short term through interactions at the workshop and in the long term through a published, book-length volume with an explicitly historiographical component.