Arkansas Spring Lecture Series in Mathematics

阿肯色州春季数学讲座系列

• 批准号: 0603714
• 负责人: Yoav Rieck
• 金额: $ 2.5万
• 依托单位: University of Arkansas
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 2006
• 资助国家: 美国
• 起止时间: 2006-04-01 至 2007-03-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=0603714&HistoricalAwards=false
• 关键词: Arkansas; Spring; Lecture; Series; Mathematics

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/

Bridson教授将就当代几何群理论的现状发表总共七场讲座。主题包括：极限群、自由群自同构、自由循环群、群维数（上同调、拓扑、CAT(0)、作用等）CAT(0) 空间、文字问题的几何、平衡表示和安德鲁斯-柯蒂斯猜想、格洛腾迪克歧义、缺陷、共轭和同构问题。阿肯色大学春季系列讲座，每年举办1977 年，一位顶尖研究人员进行了多次演讲，概述了数学领域的现状。今年的会议为研究生和年轻研究人员提供了一个了解几何群理论的绝佳机会。几何群论旨在利用几何技术研究群，即自然界中的代数对象。 在过去的 25 年里，人们在许多族群中发现了几何结构，这些族群引起了自然科学许多领域的研究人员的极大兴趣。 这些结构导致了群论中几个关键问题的快速算法的发现。更多信息可参见会议主页：http://www.uark.edu/depts/mathinfo/sls-2006/