Knots in Washington: Conferences on Knot Theory and its Ramifications 2008-2010

华盛顿结：结理论及其影响 2008-2010 年会议

• 批准号: 0817858
• 负责人: Jozef Przytycki
• 金额: --
• 依托单位: George Washington University
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 2008
• 资助国家: 美国
• 起止时间: 2008-05-15 至 2011-04-30
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=0817858&HistoricalAwards=false
• 关键词: Knots; Washington; Conferences; Knot; Theory

AbstractAward: DMS-0817858Principal Investigator: Jozef H. Przytycki, Yongwu Rong,Alexander N. Shumakovitch, Hao WuA series of conferences devoted to knot theory and itsramifications will be held in 2008-2010, continuing the "Knots inWashington" conferences held every semester in the greaterWashington, D.C. area since fall 1995. Plenary talks willsurvey the state of knowledge in areas such as Khovanov homology,Heegard Floer homology, and categorification of existinginvariants such as skein modules. Contributed talks and periodsdevoted to interaction among participants provide opportunitiesfor graduate students and recent PhDs to be a part of "Knots inWashington," and the organizers encourage students and juniorresearchers to attend these meetings.Low dimensional topology studies shapes of three and fourdimensional spaces. These dimensions are of particular interestto us because they are the dimensions of our space and ourspace-time. Knot theory is a subfield of low dimensionaltopology, which studies the knottedness in our space. One of themain goals of knot theory is to distinguish knotted objects. Thisis often done by means of the so called "knot invariants,"functions that replace geometric objects, such as knots, withthose that are easier to compare. Over the past two decades,there have been a flourish of new invariants in low dimensionaltopology, boosted by ideas from gauge theory, quantum algebras,and mathematical physics. The purpose of the "Knots inWashington Conferences" is to bring together the researchers ofthe field, including established mathematicians as well asgraduate students and recent PhDs, to discuss the state of theart of the subject. The conference web page ishttp://home.gwu.edu/~przytyck/knots/index.html.

摘要奖：DMS-0817858主要研究者：Jozef H.作者：Przytycki，Yongwu Rong，亚历山大N. Shumakovitch，Hao Wu一系列致力于结理论及其分支的会议将于2008-2010年举行，继续自1995年秋季以来每学期在华盛顿特区举行的“结”会议。 全体会议的会谈将调查的知识状态，如霍瓦诺夫同源性，Heegard Floer同源性，以及现有的不变量，如绞模块的分类。 参与者之间的贡献会谈和期间致力于互动为研究生和最近的博士生提供机会成为“结在华盛顿”的一部分，组织者鼓励学生和初级研究人员参加这些会议。这些维度对我们特别有意义，因为它们是我们的空间和时空的维度。纽结理论是低维拓扑学的一个分支，它研究我们空间中的纽结性。纽结理论的主要目标之一是区分打结的物体。这通常是通过所谓的“结不变量“来完成的，这些函数用更容易比较的对象来替换几何对象，如结。在过去的二十年里，在规范理论、量子代数和数学物理的推动下，低维拓扑中出现了大量新的不变量。 “结在华盛顿会议”的目的是汇集该领域的研究人员，包括建立数学家以及研究生和最近的博士生，讨论该主题的最新发展。 会议网页：http：home.gwu.edu/~przytyck/knots/index.html。