Arkansas Spring Lecture Series in Mathematics

布莱德森教授将就当代几何群论的现状进行七次讲座。主题将包括：极限群，自由群自同构，由循环群自由，群的维数（上同调，拓扑，CAT(0)，作用等）CAT(0)空间，字问题的几何，平衡表示和Andrews-Curtis猜想，Grothendieck模糊，不足，以及共轭和同构问题。阿肯色大学春季系列讲座自1977年以来每年举办一次，由一位主要研究人员进行多次讲座，概述数学领域的现状。今年的会议为研究生和年轻的研究人员提供了一个很好的机会来获得几何群论的概述。几何群论的目的是研究群体，代数对象在自然界中，使用几何技术。在过去的25年里，在许多自然科学领域的研究人员非常感兴趣的群体中发现了几何结构。这些结构导致了群论中几个关键问题的快速算法的发现。更多信息请访问会议主页：http://www.uark.edu/depts/mathinfo/sls-2006/

Professor Bridson will deliver a total of seven lectures on the state of contemporary Geometric Group Theory. Topics will include: limit groups, free group automorphisms, free by cyclic groups, dimension for groups (cohomolgical, topological, CAT(0), action etc.) CAT(0) spaces, the geometry of word problem, balanced presentations and the Andrews-Curtis Conjecture, Grothendieck ambiguity, Deficiency, and the conjugacy and isomorphism problems.The University of Arkansas Spring Lecture Series, held each year since 1977, features multiple talks by a leading researcher outlining the state of an area of mathematics. This year's conference presents an excellent opportunity for graduate students and young researchers to gain an overview of Geometric Group Theory. Geometric Group Theory aims to study groups, algebraic objects in nature, using geometric techniques. In the past 25 years geometric structures were found on many groups that are of great interest for researchers in many fields of natural sciences. Theses structures lead to the discovery of fast algorithms for several key problems in group theory. More information can be found on the conference homepage:http://www.uark.edu/depts/mathinfo/sls-2006/