Invariants in Low Dimensional Geometry conference

一个会议，“低维几何中的不变量”，将于2015年8月10日至14日在土耳其安卡拉的Gazi大学举行。自1970年代Thurston的开创性工作以来，三维流形上的几何结构一直是拓扑学的中心焦点。重要的进展，如佩雷尔曼的证明瑟斯顿的几何化猜想和最近的证明虚拟纤维猜想，产生了巨大的兴趣几何拓扑。另外，一个新的研究领域称为量子拓扑学，是在20世纪80年代发现了许多新的量子拓扑不变量。本次会议的主要目的，如几何和量子拓扑的主要研究目标，是推进我们的理解如何几何结构的表面和3流形，几何，拓扑和量子不变量是相互关联的。来自美国，土耳其和其他国家的机构的会议发言人将描述围绕几何和量子拓扑的活跃数学领域的领先发展和趋势。另一个重要的目标是为研究生和年轻的研究人员提供一个连贯的观点，这个广泛和活跃的研究领域。会议前一周将专门为研究生，最近的博士介绍研讨会和讲习班。的和研究人员谁是新的这一领域。研究各种主题的几何拓扑结构，几何曲面和量子拓扑结构已经进行了显着的步伐，在众多的方向，并使用不同的方法的研究和应用。本次会议将聚集一批世界领先的研究人员在这些领域，其中许多人已经率先这些方法。主题将包括：量子双曲几何，三维流形上的三角剖分和角结构，曲面几何和映射类群，特征标簇和算术不变量，有色琼斯多项式和三维流形的量子不变量。在这些领域中的许多重要的开放问题涉及这些不同的观点，并需要从不同的研究领域的技术。本次会议将重点关注突出这些领域之间联系的新发展，并帮助创造新的合作途径。会议网站：http://www.math.csi.cuny.edu/abhijit/turkey2015

A conference, "Invariants in Low Dimensional Geometry," will be held on August 10-14, 2015, at Gazi University in Ankara, Turkey. Geometric structures on 3-manifolds have been a central focus of topology since the seminal work of Thurston in the 1970s. Significant advances, such as Perelman's proof of Thurston's Geometrization Conjecture and the recent proof of the Virtual Fibering Conjecture, have generated enormous interest in geometric topology. Separately, a new research area called quantum topology was ushered in by discoveries in the 1980s of many new quantum topological invariants. The major aims of this conference, like the major research aims of geometric and quantum topology, are to advance our understanding of how geometric structures on surfaces and 3-manifolds, and the geometric, topological and quantum invariants are related to each other. Conference speakers from institutions from the United States, Turkey and other countries will describe the leading current developments and trends in the active mathematical fields surrounding geometric and quantum topology. Another important goal is to provide graduate students and young researchers with a coherent view of this wide-ranging and active research area. The week before the conference will be dedicated to introductory seminars and workshops for graduate students, recent Ph.D.'s and researchers who are new to this area.Research on various topics in geometric topology, geometry of surfaces and quantum topology has proceeded at a remarkable pace, in a multitude of directions, and using diverse methods of study and application. This conference will gather a group of the world's leading researchers in these fields, many of whom have pioneered these approaches. Topics will include: Quantum hyperbolic geometry, triangulations and angle structures on 3-manifolds, geometry of surfaces and mapping class groups, character varieties and arithmetic invariants, colored Jones polynomials and quantum invariants of 3-manifolds. Many important open problems in these fields relate these different points of view, and require techniques from distinct research areas. This conference will focus on new developments that highlight connections between these fields, and help create new avenues for collaboration.Conference website: http://www.math.csi.cuny.edu/abhijit/turkey2015