Special Meeting: Braids in Algebra, Geometry and Topology

该奖项支持一组美国研究人员和研究生参加将于2011年1月17日至28日在河内举行的“代数、几何和拓扑辫子”培训学校。Lorenz是研讨会的组织者之一，Le是主要讲师之一。培训学校主要面向研究生和年轻的研究人员。由世界顶尖专家主持的一系列六门迷你课程将涵盖从辫群理论介绍到结理论、量子群和超平面排列的一些最新研究，这是辫群发挥重要作用的三个蓬勃发展的数学分支。在培训学校之后，将有一个为期3天的专家研讨会，专门讨论最近的进展和对未来发展的展望。辫子最初是在低维拓扑的背景下引入的，后来发展成为一个主题，渗透到数学和数学物理的大部分领域，从而提供了当前许多不同研究领域之间的联系。位于河内的越南科学技术研究院数学研究所是越南数学研究的中心；它在代数、几何和拓扑学等与编织群密切相关的几个领域有很强的研究传统。河内的培训学校将向参加培训的学生介绍广泛数学学科的一些重要新发展，重点是辫子组的统一作用。在采用这种方法时，组织者的目标是呈现当前数学研究的全景视图，并抵消专业化和独家关注一个狭窄主题的趋势。此外，组织者希望该学院及其附属研讨会将促进跨学科研究，并有助于促进东南亚地区数学家与欧洲和美国专家之间的交流与合作。

This award supports the participation of a group of US-based researchers and graduate students at a training school on ``Braids in Algebra, Geometry and Topology'', to be held January 17-28, 2011 in Hanoi. Lorenz is one of the organizers of the workshop while Le is one of the principal lecturers. The training school is primarily aimed at graduate students and young researchers. A series of six mini-courses by some of the world's leading experts will cover topics ranging from an introduction to the theory of braid groups to some current research in knot theory, quantum groups, and hyperplane arrangements, three thriving branches of mathematics where braid groups play an essential role. Immediately following the training school, there will be a 3-day workshop for specialists that will be devoted to a discussion of recent advances and perspectives for future developments.Braids, originally introduced in the context of low-dimensional topology, have since developed into a theme that permeates large parts of mathematics and mathematical physics, thereby providing a link between many different areas of current research. The Institute of Mathematics at the Vietnam Academy of Science and Technology in Hanoi is the center of mathematical research in Vietnam; it has a strong tradition of research in several areas of algebra, geometry, and topology that are closely tied to braid groups. The training school in Hanoi will introduce participating students to some important new developments in a broad range of mathematical subjects, focusing on the unifying role of braid group. In adopting this approach, the organizers aim to present a panoramic view of current research in mathematics and counteract a trend towards specialization and exclusive focus on one narrow topic. In addition, the organizers expect that the school and its accompanying workshop will boost interdisciplinary research as well as help promoting exchanges and collaborations between mathematicians in the region of Southeast Asia and experts from Europe and the United States.