Conference on Conformal Geometry and Riemann Surfaces

共形几何与黎曼曲面会议--荣誉Ravi S. Kulkarni”将于2013年10月25日、26日和27日在纽约市法拉盛Kiseena大道65-30号纽约城市大学皇后学院举行。 黎曼曲面是数学中最基本的领域之一。世纪的数学家们从代数曲线的角度对黎曼曲面进行了广泛的研究，通常使用亚纯函数将它们具体地表示为黎曼球面的分支覆盖。全纯函数芽的解析延拓的思想也导致了黎曼曲面的研究。黎曼著名的1851年论文开创了研究几何方法在函数论。在这里，人们发现黎曼曲面的想法是一个覆盖面与系统的局部均匀化参数。出版魏尔的1913年经典开始正式研究黎曼曲面，其中黎曼曲面被理解为一个连接复杂的流形的一个复杂的层面。目前，黎曼曲面是现代数学许多重要分支的核心。它与广泛的领域交叉，如几何函数理论，双曲流形，不连续群，复杂动力学，以及最近的粒子物理学中的弦理论。我们会议的主要目标是汇集共形几何，黎曼曲面和相关领域的领先研究人员，他们将谈论各自专业领域的研究现状，并给出了一个广泛的概述，他们的研究是如何与其他领域的数学。这次会议的一个重要目的是荣誉的许多基本贡献拉维Kulkarni广泛的数学领域密切相关的不连续群体，共形几何，黎曼曲面。其目的是探索一些关键的发展，在相关领域，或直接影响Kulkarni的广泛的研究贡献。我们希望这将是一个非常刺激的会议，有足够的空间进行数学互动。所有受邀演讲者都是各自专业领域的杰出专家。他们将给出一个很好的概述与共形几何和黎曼曲面相互作用的许多领域。大约有70名与会者将从广泛的会谈中受益匪浅。城市大学的纽约有一个活泼和非常活跃的研究小组工作在黎曼曲面和各个方面的共形几何。我们特别有兴趣邀请来自纽约市立大学研究生中心、纽约大学、哥伦比亚大学、纽约州立大学石溪分校、罗格斯大学（纽瓦克）和耶鲁大学的研究生和博士后研究员。特别是，我们想邀请最近的博士和年轻的助理教授从所有城市大学学院（高级和社区学院）。他们中的许多人都非常有兴趣继续研究。这次会议将给他们一个很好的机会与其他数学家互动，并接触到一些重要的研究问题。我们希望这次会议将有很大的帮助年轻的数学家谁感兴趣的黎曼曲面和相关主题，谁也渴望成为未来的专家。

The conference "Conformal Geometry and Riemann Surfaces -- A conference in Honor of Professor Ravi S. Kulkarni" will be held at Queens College of the City University of New York, 65-30 Kiseena Blvd, Flushing, NY 11367, on October 25, 26, and 27, 2013. The subject of Riemann surfaces is one of the most fundamental areas in mathematics. Mathematicians in the 19th century extensively worked on Riemann surfaces from the point of view of algebraic curves, often by concretely representing them as a branched covering of the Riemann sphere, using a meromorphic function. The idea of analytic continuation of germs of holomorphic functions had also led to the study of Riemann surfaces. Riemann's famous 1851 dissertation inaugurated the study of geometrical methods in function theory. Here, one finds the idea of a Riemann surface as a covering surface with a system of local uniformizing parameters. The publication of Weyl's 1913 classic began the formal study of Riemann surfaces, where a Riemann surface was understood to be a connected complex manifold of one complex dimension. At present, the subject of Riemann surfaces is at the heart of many important branches of modern mathematics. It intersects with a broad range of fields, like geometric function theory, hyperbolic manifolds, discontinuous groups, complex dynamics, and more recently, string theory in particle physics.The main goal of our conference is to bring together leading researchers in conformal geometry, Riemann surfaces, and related fields, who will talk on the present state of research in their specialized areas, and also give a broad overview of how their research is related with other areas of mathematics. An important purpose of this conference is to honor the many fundamental contributions of Ravi Kulkarni to a wide range of mathematical areas closely related to discontinuous groups, conformal geometry, and Riemann surfaces. The aim is to explore some of the key developments in the areas related to, or directly influenced by Kulkarni's broad research contributions. We expect this to be a very stimulating conference, with ample scope for mathematical interactions. All invited speakers are outstanding experts in their fields of expertise. They will give an excellent overview of the many areas that interact with conformal geometry and Riemann surfaces. There will be about 70 participants, who will immensely benefit from the wide range of talks. The City University of New York has a lively and very active group of researchers working in Riemann surfaces and various aspects of conformal geometry. We are especially interested in inviting graduate students and postdoctoral fellows from CUNY Graduate Center, New York University, Columbia University, SUNY at StonyBrook, Rutgers (Newark), and Yale University. In particular, we want to invite recent Ph.Ds and young assistant professors from all CUNY Colleges (Senior and Community Colleges). Many of them are seriously interested to continue research. This conference will give them a very good opportunity to interact with other mathematicians, and get an exposure to some important research problems. We expect this conference to be of great help for young mathematicians who are interested in Riemann surfaces and related topics, and who also aspire to be future specialists.