Conference Proposal - Structure of 3-manifold Groups

会议提案 - 3流形组的结构

• 批准号: 1747833
• 负责人: Genevieve Walsh
• 金额: $ 2.7万
• 依托单位: Tufts University
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 2018
• 资助国家: 美国
• 起止时间: 2018-01-01 至 2022-05-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=1747833&HistoricalAwards=false
• 关键词: Conference; Proposal; Structure; manifold; Groups

The conference, "Structure of 3-manifold groups" will be held in Marseille, Luminy (France) at the Centre International de Rencontres Mathematiques (CIRM) from February 26 to March 2, 2018. The organizers expect that the meeting will have about 90 participants. The award funds participation of US based mathematicians in this event. The topics covered at the conference are of high current interest with difficult outstanding problems. There have recently been new techniques developed regarding this family of problems and related conjectures regarding the structure of 3-manifold groups. The organizers expect that bringing mathematicians together from different areas with different points of view regarding these topics will serve mathematical progress. This conference is part of a semester whose aim is to foster international collaboration, particularly between the United States and France. There is time allowed for interaction and collaboration, and the mix of senior and junior mathematicians should be very productive.The conference will focus on determining which groups are the fundamental groups of 3-manifolds. Understanding which groups are 3-manifold groups is a very old problem, but there are new ways of thinking about groups that allow to make progress in certain cases. In particular, much progress has been made in the field of relatively hyperbolic groups, and specific classes of hyperbolic groups, such as free-by-cyclic groups. Specifically, the conference will cover topics about Poincare duality groups, when certain classes of groups are the fundamental groups of 3-manifolds, pro-finite completions of groups, surface subgroups of groups, and decompositions of groups analogous to decompositions of 3-manifolds. The main goal is that specific results will be obtained by bringing individuals together. There is a continuously evolving website for the meeting at https://walsh-paoluzzi.weebly.com/conference.html. In particular, interested participants can pre-register at that site.

会议，“结构的3-流形组”将在马赛，Luminy（法国）在国际数学会议中心（CIRM）从2月26日至3月2日，2018年。组织者预计会议将有大约90名与会者。该奖项资助美国数学家参与这项活动。会议涵盖的主题具有很高的现实意义，但存在一些悬而未决的困难问题。最近有新的技术开发有关这一系列的问题和相关的programmures的结构的3-流形组。组织者希望将来自不同领域的数学家聚集在一起，对这些主题有不同的观点，这将有助于数学的进步。本次会议是一个学期的一部分，其目的是促进国际合作，特别是美国和法国之间的合作。有时间允许的互动和合作，和混合的高级和初级数学家应该是非常富有成效的.会议将集中在确定哪些群体是基本群体的3-流形.理解哪些群是3-流形群是一个非常古老的问题，但是有一些新的方法可以在某些情况下取得进展。 特别是，在相对双曲群和特定的双曲群类，如自由循环群领域已经取得了很大的进展。具体来说，会议将涵盖有关庞加莱对偶群的主题，当某些类别的群体是基本群体的3-流形，pro-finite完成的群体，表面子群的群体，和分解的群体类似于分解的3-流形。 其主要目标是通过将个人聚集在一起来取得具体成果。 会议的网站https://walsh-paoluzzi.weebly.com/conference.html不断更新。特别是，感兴趣的参与者可以在该网站预先登记。