Conference entitled "Bundles in Complex Differential Geometry" to be held March 14-16, 1991, at Idaho State University.
Conference entitled "Bundles in Complex Differential Geometry" to be held March 14-16, 1991, at Idaho State University.
批准号:
9102883
负责人:
Robert Fisher
金额:
$0.5万
依托单位:
依托单位国家:
美国
项目类别:
Standard Grant
财政年份:
1991
资助国家:
美国
项目状态:
已结题
起止时间:
1991-03-01 至 1992-08-31
中文摘要
束的概念,无论是矢量束、主束还是相关的纤维束,已经并将继续是微分几何中的核心工具。几何问题可以用连接理论通过束来分析。此外,随着全纯思想的加入,几何变得更加丰富。本次会议将讨论全纯向量束上的爱因斯坦-厄米结构的研究,复束上的调和度规的概念,以及主g束的规范群在连接空间上的作用。这笔拨款将部分支持于1991年3月14日至16日在爱达荷州立大学举行的题为“复杂微分几何中的束”的会议。会谈的组织将包括一个经过修改的论坛,其中演讲者将回答与会者就其特定主题的更详细性质提出的问题。研究生和初级研究人员应该能够从这种格式中受益匪浅。
英文摘要
The concept of a bundle, be it a vector bundle, a principal bundle, or an associated fiber bundle,has been and continues to be a central tool in differential geometry. Questions in geometry can be analyzed via bundles using the theory of connections. Moreover, the geometry becomes even richer with the addition of holomorphic ideas. Various topics to be addressed in this conference are the study of Einstein-Hermitian structures on holomorphic vector bundles, the concept of a harmonic metric on a complex bundle, and the action of the gauge group of a principal G-bundle on the space of connections. This grant will partially support a conference entitled "Bundles in Complex Differential Geometry" to be held March 14-16, 1991 at Idaho State University. The organization of the talks will involve a modified forum wherein the speakers will field questions from the participants on the more detailed nature of their particular topic. Graduate students and junior researchers should be able to profit greatly from this format.
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