Conformal geometry and geometric PDEs (Conference)

该提案寻求资金支持美国数学家前往巴塞罗那数学研究中心（CRM）参加会议和短期课程，并在格拉纳达大学参加研讨会。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。共形几何会议将于2013年7月1日至5日在CRM举行。研讨会旨在回顾保形几何和最小曲面的最新进展，以鼓励相关领域研究人员的互动。在这两次会议之间，将于6月25日至6月28日在CRM为研究生和博士后提供保形几何和最小曲面的短期课程。为了促进青年数学家对这些课题的兴趣，本提案一半以上的资金将用于支持研究生和青年博士后的旅行。本次研讨会和短期课程旨在促进共形几何和最小曲面研究课题的进展和合作。共形几何研究的是具有明确长度概念的空间结构，但重点是在保留角度概念的情况下对长度的相关测量。类似地，最小曲面理论研究的是表面在环境空间中的位置，在这个空间中有一个明确定义的长度概念，因此也有面积概念。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，微分方程的解析技术有了广泛的发展，这些技术在保形几何和最小曲面中都有直接的应用。这些可能的应用反过来又会产生微分方程理论的新进展。下面的url提供了更详细的信息：http://wdb.ugr.es/~geometry/seminar/en/eventosandhttp://www.crm.cat/en/Pages/default.aspx

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