Arkansas Spring Lecture Series in Mathematics

布里德森教授将发表七场关于当代几何群论现状的讲座。主题包括：极限群，自由群自同构，自由循环群，群的维度(上同调，拓扑学，CAT(0)，作用量等)。CAT(0)空间、应用题几何、平衡表述和安德鲁斯-柯蒂斯猜想、Grothendieck歧义、亏量、共轭和同构问题。自1977年以来，阿肯色大学春季系列讲座每年举办一次，由一位主要研究人员概述一个数学领域的状况。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，让他们了解几何群论。几何群论旨在使用几何技术研究群，即自然界中的代数对象。在过去的25年里，在许多自然科学领域的研究人员都对几何结构产生了浓厚兴趣。这些结构导致了群论中几个关键问题的快速算法的发现。欲了解更多信息，请访问Conference homepage: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/