Hyperbolic Geometry and Minimal Surfaces

双曲几何和最小曲面

• 批准号: 1460241
• 负责人: Martin Bridgeman
• 金额: $ 2.97万
• 依托单位: Boston College
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 2015
• 资助国家: 美国
• 起止时间: 2015-02-15 至 2017-01-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=1460241&HistoricalAwards=false
• 关键词: Hyperbolic; Geometry; Minimal; Surfaces

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

双曲几何和极小曲面会议将于2015年1月4日至10日在巴西里约热内卢国家马特梅蒂卡学院(IMPA)举行，由双曲几何和极小曲面领域的专家进行为期五天的系列讲座。会议的目标是就当前的研究主题对与会者进行教育，并为在这两个领域的交叉问题上进行合作提供一个论坛。通过这种互动，会议寻求产生与双曲几何和极小曲面相关的几何研究的新方向，并通过与该领域的领先专家互动，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集在一起合作和分享想法的场所。通过帮助发展和拓宽初级和高级与会者的研究计划，这将进一步加强和拓宽其本国机构和国家的数学教育发展。本课程的目的是研究双曲几何与极小曲面相交的问题。近年来，双曲几何在该领域的重大问题上取得了很大的进展。特别是对于双曲三维流形，证明了几何猜想、结束分层猜想、驯服猜想、虚Haken猜想和虚纤化猜想。不可压缩曲面和极小曲面在这项工作中扮演了重要的角色。通过将会议的重点放在双曲几何和极小曲面上，人们期望继续发展这两个领域之间的相互作用。主题将包括，双曲流形中的最小曲面，双曲几何中的最小-最大技巧，以及双曲流形扩张族中的脉动。研讨会的网站位于http://www.impa.br/opencms/en/eventos/store/evento_1501