Conference on Geometric and Combinatorial Methods in Group Theory and Semigroup Theory

这笔赠款将支持国际会议的几何和组合方法在群论和半群理论。会议将于2009年5月17日至5月21日在内布拉斯加大学林肯分校举行。 群是一种有用的数学工具，它起源于对称性的研究，包括化学中晶格对称性的研究。 半群理论的许多应用也在于研究对象的局部（而不是全局）对称性，以及它们在计算机科学中作为研究有限状态机操作的代数工具的使用。 本次会议的目的是促进合作研究群理论家和半群理论家谁是使用相关技术。 近年来，群论和半群理论的研究蓬勃发展，许多新的工具和思想将这些领域与拓扑学，几何学，动力系统，符号计算和组合学联系起来。 在群论和半群理论中发展的新方法在这两个领域都有很大的应用潜力。 会议将突出这些领域的最新发展，重点是渐近和算法特性。 除了传播关于群论和半群理论主题的最新思想外，会议还将为与会者提供一个合作和相互建立联系的环境，桥接群论和半群理论。 会议还将帮助最近的博士。的和研究生与该地区的领先研究人员进行互动，并获得更广泛的知识，他们的研究领域。

This grant will support an international conference on geometric and combinatorial methods in group theory and semigroup theory. The conference will be held on the campus of the University of Nebraska-Lincoln during the period May 17 - May 21, 2009. Groups are a useful mathematical tool which originated in the study of symmetry, including research on symmetries of crystal lattices in chemistry. Many of the applications of work in semigroup theory also lie in the study of local (instead of global) symmetries of objects, as well as their use as an algebraic tool in computer science for studying the operation of finite state machines. The aim of this conference is to stimulate cooperative research among group theorists and semigroup theorists who are using related techniques. Research in both group theory and semigroup theory has burgeoned in recent years, with many new tools and ideas connecting these areas to topology, geometry, dynamical systems, symbolic computation, and combinatorics. The new methods developed in each of group theory and semigroup theory have great potential for further applications in both areas. The conference will highlight recent developments in these fields, with a focus on asymptotic and algorithmic properties. In addition to the dissemination of recent ideas on topics in group theory and semigroup theory, the conference will provide a setting for the participants to collaborate and establish connections with each other, bridging group theory and semigroup theory. The conference will also help recent Ph.D.'s and graduate students to interact with leading researchers in the area and gain a broader knowledge of their research field.