Asymptotic geometry, filling functions, and non-positive curvature
Asymptotic geometry, filling functions, and non-positive curvature
批准号:
399394-2011
负责人:
Young, Robert
金额:
$1.17万
依托单位:
依托单位国家:
加拿大
项目类别:
Discovery Grants Program - Individual
财政年份:
2011
资助国家:
加拿大
项目状态:
已结题
起止时间:
2011-01-01 至 2012-12-31
中文摘要
我计划学习群体和空间的大尺度几何。研究空间的一种方法是观察曲线和圆盘。每条曲线都是某个圆盘边界的空间称为单连通空间。即使你知道一个空间是单连通的,你也可能不知道这些圆盘有多大;在一些空间中,有短的循环,只能由非常大的圆盘填充。像这样的问题,人们知道某物存在,但又想知道它有多大,这是定量几何中的问题。
英文摘要
I plan to study the large-scale geometry of groups and spaces. One way to study a space is to look at curves and discs. A space where every curve is the boundary of some disc is called simply connected. Even if you know that a space is simply connected, you may not know how big those discs are; in some spaces, there are short loops which can only be filled by very large discs. Problems like these, where one knows that something exists, but one wants to know how big it is, are problems in quantitative geometry.
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会议论文
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