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

这笔赠款将支持群论和半群论中几何和组合方法的国际会议。会议将于2009年5月17日至5月21日在内布拉斯加-林肯大学校园举行。群是一种有用的数学工具，起源于对称性的研究，包括化学中对晶格对称性的研究。半群理论中工作的许多应用还在于研究对象的局部(而不是全局)对称性，以及将它们用作计算机科学中研究有限状态机操作的代数工具。这次会议的目的是促进正在使用相关技术的群论者和半群论者之间的合作研究。近年来，群论和半群论的研究方兴未艾，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。群论和半群论各自发展出的新方法在这两个领域都有很大的应用潜力。会议将重点介绍这些领域的最新发展，重点是渐近性质和算法性质。除了传播关于群论和半群理论的最新观点外，会议还将为与会者提供一个相互协作和建立联系的环境，架起群论和半群论的桥梁。会议还将帮助新近获得博士学位的S和研究生与该领域的顶尖研究人员互动，并对他们的研究领域获得更广泛的知识。

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.