Workshop on Knots and Quantum Computing

摘要：项目负责人：Mieczyslaw K. Dabkowski, Jozef H. Przytycki, Viswanath ramakrishna“结与量子计算”研讨会将于2007年11月在德克萨斯大学达拉斯分校举行，该研讨会是一系列旨在探讨结理论与其他科学领域之间关系的会议中的第一个。本次会议的全体会议预计将调查结和量子计算之间存在联系的状态，以khovanov同调为例，目前被理解为琼斯多项式的推广或结的类似不变量到一个新的链复合体，其欧拉特征恢复了原始多项式不变量。本次会议旨在为量子计算领域的结理论学家和研究人员提供一个交流的场所，并在他们的学科之间建立新的联系。特别鼓励博士研究生和新近获得博士学位的学生参加并申请该奖项的旅行支持。

AbstractAward: DMS-0745204Principal Investigator: Mieczyslaw K. Dabkowski, Jozef H. Przytycki, Viswanath RamakrishnaThe Workshop on Knots and Quantum Computing to be held at theUniversity of Texas at Dallas in November 2007 is the first of aplanned series of conferences devoted to the relationship betweenknot theory and other fields of science. Plenary talks at thisconference are expected to survey the state of existingconnections between knots and quantum computation, exemplified byKhovanov homology, which is presently understood as ageneralization of the Jones polynomial or a similar invariant ofa knot to a novel chain complex whose Euler characteristicrecovers the original polynomial invariant.This conference is intended to provide a place for knot theoristsand researchers in quantum computing to communicate and todevelop new connections between their subjects. PhD students andrecent PhDs are particularly encouraged to attend and to applyfor travel support from this award.