Travel Funding for International Conference (Groups-2003)

国际会议差旅费资助（团体 - 2003）

• 批准号: 0307231
• 负责人: Vaughan Jones
• 金额: $ 1.92万
• 依托单位: University of California-Berkeley
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 2003
• 资助国家: 美国
• 起止时间: 2003-06-01 至 2004-05-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=0307231&HistoricalAwards=false
• 关键词: Travel; Funding; International; Conference; Groups

Principal Investigator: Vaughan F. JonesProposal Number: DMS-0307231Institution: University of California, BerkeleyTechnical AbstractThe main topic of the conference ``Groups--2003'' in Gaeta, Italy is Discrete Groups. It will concentrate on: groups generated by finite automata, hyperbolic groups in the sense of Gromov, Burnside groups, lattices in Lie groups, groups of intermediate growth, anddiscrete groups of Lie type. The questions concerning these groups are related to many areas of mathematics mentioned in the next section. The subjects discussed during the conference will be related to growth of groups, subgroup growth, property (T), expanders and Ramanujan graphs, amenability, non-commutative dynamical systems, random walks on groups, formal languages, branch groups, automata groups, fractal groups and fractal sets, computation of spectra of Hecke operators, L2-invariants, bounded cohomology, and the structure of lattices in Lie groups. A special emphasis will be put on branch groups, as this conference is dedicated to R. Grigorchuk on the occasion of his 50th anniversary. The main topic of the conference belongs of course to Group Theory, but it is also closely related to Dynamical Systems, Ergodic Theory, Geometry of Metric Spaces, Low-dimensional Topology, Discrete Mathematics, Harmonic Analysis, Operator Algebras,Representations of Groups, and L2 Cohomology. Non-Technical AbstractThe planned conference ``Groups--2003'' in Gaeta, Italy intends to be a meeting point for mathematicians with various specialties, with group theory serving as a unifying ground. While centered on abstract algebra, participants with a background from statistics, theoretical physics as well as the broad spectrum of pure mathematics will contribute talks that stress as much as possible the unifying nature of mathematics in general, and group theory in particular. Time will generously be alloted for informal discussion and fruitful exchanges between the participants. These will comprise both internationallyrenowned experts and graduate students or young researchers who wish to embark in the rapidly progressing field. Proceedings of the conference will be edited, and assemble contributions from the participants. This conference is fittingly dedicated to Professor Grigorchuk for his 50th birthday, who by his numerous contributions to various diverse fields of mathematics has illustrated the goals of this conference.

首席调查员：Vaughan F. Jonespropopals编号：DMS-0307231INANTITITION：加利福尼亚大学伯克利大学技术摘要摘要``意大利Gaeta''Gaeta的主要主题是``'groups-2003''。 它将集中精力：有限自动机产生的组，格罗莫夫（Gromov）的双曲线组，伯恩赛德（Burnside）组，谎言组的格子，中间生长组，谎言类型的discrete组。有关这些组的问题与下一节中提到的数学领域有关。 The subjects discussed during the conference will be related to growth of groups, subgroup growth, property (T), expanders and Ramanujan graphs, amenability, non-commutative dynamical systems, random walks on groups, formal languages, branch groups, automata groups, fractal groups and fractal sets, computation of spectra of Hecke operators, L2-invariants, bounded cohomology, and the structure of lattices in Lie groups. 该会议将在他成立50周年之际致力于R. Grigorchuk，这将是分支小组的特别重点。 会议的主要主题当然属于群体理论，但它也与动态系统，千古理论，度量空间的几何形状，低维拓扑，离散数学，谐波分析，操作员代数，组表示，小组表示和L2共同体密切相关。 非技术摘要计划的会议``''''''''''''''''''''''''''''''''''''在意大利盖埃塔举行的``'''集团打算成为具有各种专业的数学家的聚会点，群体理论是一个统一的理由。尽管以抽象代数为中心，但具有统计背景的参与者，理论物理学以及纯数学的广泛范围将有助于谈判，以至于一般数学的统一性质，尤其是群体理论。时间将大量分配，以进行非正式讨论和参与者之间的富有成果的交流。这些将构成国际冠军的专家，以及希望踏入快速发展领域的研究生或年轻研究人员。会议的会议记录将进行编辑，并组装参与者的贡献。这次会议适当地致力于格里戈丘克（Grigorchuk）教授的50岁生日，他以他对各种数学领域的众多贡献说明了这次会议的目标。