Invariants in Low Dimensional Geometry conference

“低维几何中的不变量”会议将于2015年8月10日至14日在土耳其安卡拉的加齐大学举行。自20世纪70年代Thurston的开创性工作以来，3流形上的几何结构一直是拓扑学的中心焦点。重大进展，如佩雷尔曼对瑟斯顿几何化猜想的证明和最近对虚拟光纤猜想的证明，引起了人们对几何拓扑学的极大兴趣。另外，20世纪80年代，许多新的量子拓扑不变量的发现开创了一个名为量子拓扑的新研究领域。本次会议的主要目的，就像几何和量子拓扑的主要研究目的一样，是促进我们对曲面和3流形上的几何结构以及几何、拓扑和量子不变量之间的关系的理解。来自美国、土耳其和其他国家机构的会议发言人将介绍围绕几何和量子拓扑的活跃数学领域的最新发展和趋势。另一个重要目标是为研究生和年轻研究人员提供这个广泛而活跃的研究领域的连贯观点。会议前一周将专门为研究生、刚获得博士学位的学生和刚接触该领域的研究人员举办介绍性研讨会和讲习班。几何拓扑学、曲面几何和量子拓扑学等各种主题的研究进展迅速，方向多样，研究和应用方法多样。本次会议将聚集这些领域的世界领先研究人员，其中许多人是这些方法的先驱。主题将包括：量子双曲几何、3-流形上的三角形和角结构、曲面几何和映射类群、特征变异和算术不变量、彩色琼斯多项式和3-流形的量子不变量。这些领域中许多重要的开放性问题都涉及到这些不同的观点，并且需要来自不同研究领域的技术。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