3-Manifolds: Heegaard Splittings, the Curve Complex, and Hyperbolic Geometry

3-流形：Heegaard 分裂、复合曲线和双曲几何

基本信息

批准号：
1308209
负责人：
Shelly Harvey
金额：
$ 1.84万
依托单位：
William Marsh Rice University
依托单位国家：
美国
项目类别：
Standard Grant
财政年份：
2013
资助国家：
美国
起止时间：
2013-02-15 至 2014-01-31
项目状态：
已结题

来源：
https://www.nsf.gov/awardsearch/showAward?AWD_ID=1308209&HistoricalAwards=false
关键词：
Manifolds Heegaard Splittings Curve Complex

项目摘要

"3-Manifolds: Heegaard Splittings, the Curve Complex, and Hyperbolic Geometry" is a mathematics research conference which will be held April 19-21, 2013 at Rice University in Houston, Texas. This conference will bring together senior and junior researchers in the above areas of 3-manifolds in order to share recent progress and reflect on the future direction of the subject. It will feature approximately eight research lectures together with an introductory lecture intended for graduate students. Ample time will be set aside for interaction and collaboration among the attendees.In its broadest terms this project is about the mathematical structure of the "shape" of 3-dimensional objects (topology/geometry). Understanding complex shapes has many diverse applications. The geometric structure of proteins and other complex molecules is crucial to drug development. The geometric shape of organs (especially the brain) is vital to the field of medical imaging. The prediction of shape from incomplete data has important military and commercial applications. The geometric configuration of cellular DNA is vital in determining the precise mechanisms of cellular processes. In the past few decades, topology has experienced fundamental and transformative developments. This conference will fertilize new research directions by encouraging mathematical interaction and collaboration among researchers. The budget will help support the travel expenses of the speakers, and it will provide partial support to graduate students and other young researchers to enable their participation in this event. Every effort will be made to support and encourage participation from underrepresented groups. Registration for the conference is available at the conference website, http://math.rice.edu/Conferences/3-Manifolds/

“3-流形：Heegaard 分裂、复合曲线和双曲几何”是一个数学研究会议，将于 2013 年 4 月 19 日至 21 日在德克萨斯州休斯顿莱斯大学举行。本次会议将汇集上述三流形领域的资深和初级研究人员，以分享最新进展并反思该学科的未来方向。它将包括大约八个研究讲座以及一个针对研究生的介绍性讲座。将为与会者之间的互动和协作留出充足的时间。从最广泛的意义上讲，该项目是关于 3 维物体“形状”的数学结构（拓扑/几何）。理解复杂的形状有许多不同的应用。蛋白质和其他复杂分子的几何结构对于药物开发至关重要。器官（尤其是大脑）的几何形状对于医学成像领域至关重要。根据不完整数据预测形状具有重要的军事和商业应用。细胞 DNA 的几何构型对于确定细胞过程的精确机制至关重要。在过去的几十年里，拓扑学经历了根本性和变革性的发展。这次会议将通过鼓励研究人员之间的数学互动和合作来培育新的研究方向。该预算将帮助支持演讲者的差旅费，并将为研究生和其他年轻研究人员提供部分支持，使他们能够参加本次活动。我们将尽一切努力支持和鼓励代表性不足的群体的参与。会议注册可在会议网站上进行，http://math.rice.edu/Conferences/3-Manifolds/