Conformal geometry and geometric PDEs (Conference)

共形几何和几何偏微分方程（会议）

• 批准号: 1309299
• 负责人: Paul Yang
• 金额: $ 4万
• 依托单位: Princeton 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: 2013-04-01 至 2014-03-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=1309299&HistoricalAwards=false
• 关键词: Conformal; geometry; geometric; PDEs; Conference

This proposal seeks funding to support travel of American mathematicians to attend a conference and short courses at the Centre de Recerca Matematica (CRM) in Barcelona and a workshop at Univ. de Granada. The workshop on minimal surfaces will be held at Mathematics Institute of Univ. de Granada, June 17-27, 2013. The conference in conformal geometry will take place July 1-5, 2013 at CRM. The workshop seeks to review the recent advances in conformal geometry and minimal surfaces in order to encourage interactions of researchers in related areas. In between the two conferences will be the short courses for graduate students and postdocs on conformal geometry and minimal surfaces June 25 to June 28 at CRM. To promote the interests of young mathematicians in these topics, more than half of the funding from this proposal will go to support the travel of graduate students and young postdocs. This proposed workshops and short courses are intended to stimulate advances and collaborations in the reseach topics of conformal geometry and minimal surfaces. Conformal geometry studies the structure of spaces in which there is a well defined notion of lengths, but the emphasis is on related measurements of length where the notion of angles is preserved. Similarly minimal surface theory studies the placement of surfaces in an ambient space in which there is a well defined notion of length and hence notion of area. Common to both disciplines is the use of differential equations to study related geometric invariants. In recent years there is extensive developments in analytic techniques in differential equations that have direct applications in both conformal geometry and minimal surfaces. These possible applications will in turn generated new advances the the theory of differential equations. The following urls give more detailed information:http://wdb.ugr.es/~geometry/seminar/en/eventosandhttp://www.crm.cat/en/Pages/default.aspx

该提案寻求资助美国数学家前往巴塞罗那数学研究中心参加一次会议和短期课程，以及前往格拉纳达大学参加一次讲习班。最小曲面研讨会将于2013年6月17日至27日在格拉纳达大学数学研究所举行。在共形几何会议将于2013年7月1日至5日在CRM。该研讨会旨在回顾保形几何和极小曲面的最新进展，以鼓励相关领域研究人员的互动。在这两个会议之间将是短期课程的研究生和博士后共形几何和最小曲面6月25日至6月28日在CRM。为了促进年轻数学家对这些主题的兴趣，该提案中一半以上的资金将用于支持研究生和年轻博士后的旅行。本研讨会和短期课程的目的是促进共形几何和极小曲面的研究课题的进展和合作。保形几何研究的是空间的结构，其中有一个明确的长度概念，但重点是在相关的长度测量的角度的概念是保留。类似地，极小曲面理论研究曲面在周围空间中的放置，其中存在明确定义的长度概念和面积概念。这两个学科的共同点是使用微分方程来研究相关的几何不变量。近年来，微分方程的分析技术有了广泛的发展，这些技术在共形几何和极小曲面中都有直接的应用。这些可能的应用反过来又会使微分方程理论产生新的进展.以下网址提供了更详细的信息：http://wdb.ugr.es/~geometry/seminar/en/eventosandhttp://www.crm.cat/en/Pages/default.aspx