Hyperbolic Geometry and Minimal Surfaces

会议双曲几何和最小曲面将在国家数学研究所纯粹的应用（IMPA），里约热内卢，巴西，2015年1月4日至10日举行，将由专家在双曲几何和最小曲面领域给予为期五天的系列讲座。会议的目标是教育参与者当前的研究课题，并提供一个论坛，在两个领域的交叉点的问题进行合作。通过这种互动，会议旨在产生与双曲几何和最小曲面相关的几何研究的新方向，并通过与该领域领先专家的互动为初级研究人员和研究生提供研究发展。会议还将为来自北美，中美洲和南美洲的数学家提供一个聚会的场所，以合作和分享想法。通过帮助发展和扩大与会者的研究计划，无论是初级和高级，这将进一步加强和扩大数学教育在他们的家乡机构和国家的发展。研讨会的目的是调查问题的交叉点的双曲几何和极小曲面。 近年来，双曲几何在这一领域的主要问题上取得了很大的进展。特别是对于双曲三流形，几何化猜想、终结层猜想、驯服性、虚哈肯猜想和虚虚重叠猜想都得到了证明。不可压缩曲面和极小曲面在这项工作中发挥了重要作用。通过把会议的重点放在双曲几何和极小曲面上，期望继续发展这两个领域之间的相互作用。 主题将包括，最小曲面在双曲流形，最小，最大技术在双曲几何，和Systoles在扩大家庭的双曲流形。研讨会网站位于http://www.impa.br/opencms/en/eventos/store/evento_1501

The conference Hyperbolic Geometry and Minimal Surfaces will be held at the Instituto Nacional de Matemática Pura e Aplicada (IMPA), Rio de Janeiro, Brazil, January 4-10, 2015 and will consist of a five-day lecture series given by experts in the fields of hyperbolic geometry and minimal surfaces. The goal of the conference is to educate participants in current research topics and to provide a forum for collaboration on problems at the intersection of the two fields. Through this interaction, the conference seeks to produce new directions of research in geometry related to hyperbolic geometry and minimal surfaces, and provide research development for junior researchers and graduate students through interaction with leading experts in the fields. The conference will also provide a venue for mathematicians from North, Central and South America to gather to collaborate and share ideas. By helping develop and broaden the research program of attendees, both junior and senior, this will further strengthen and broaden the development of mathematics education in their home institutions and countries. The purpose of the workshop is to investigate problems at the intersection of hyperbolic geometry and minimal surfaces. Hyperbolic geometry has seen great advances inrecent years on major problems in the field. In particular for hyperbolic three-manifolds, the geometrization conjecture, ending lamination conjecture, tameness, virtual Haken conjecture, and virtual fibering conjecture, have all been proved. Incompressible surfaces and minimal surfaces played an important role in this work. By focusing the conference on hyperbolic geometry an minimal surfaces, the expectation is to continue the development of this interaction between the two areas. Topics will include, Minimal surfaces in hyperbolic manifolds, Min-max techniques in hyperbolic geometry, and Systoles in expanding families of hyperbolic manifolds. The workshop website is located at http://www.impa.br/opencms/en/eventos/store/evento_1501