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.

主要研究人员：Vaughan F. jones提案号：dms -0307231机构：加州大学伯克利分校技术摘要：在意大利加埃塔举行的“组-2003”会议的主要主题是离散组。它将集中于：有限自动机生成的群，Gromov意义上的双曲群，Burnside群，李群中的格，中间增长群，李型离散群。关于这些组的问题与下一节提到的许多数学领域有关。会议讨论的主题将涉及群的增长、子群的增长、性质(T)、展开式和Ramanujan图、可调性、非交换动力系统、群上的随机游动、形式语言、分支群、自动机群、分形群和分形集、Hecke算子谱的计算、l2不变量、有界上同调和李群中格的结构。由于本次会议是在R. Grigorchuk诞辰50周年之际举行的，因此将特别强调分支团体。会议的主题当然是群论，但它也与动力系统、遍历理论、度量空间几何、低维拓扑、离散数学、调和分析、算子代数、群的表示和L2上同调密切相关。计划在意大利加埃塔召开的“群—2003”会议旨在成为各专业数学家的聚会点，以群论作为统一的基础。在以抽象代数为中心的同时，具有统计学、理论物理学以及广泛的纯数学背景的参与者将提供尽可能多地强调一般数学的统一性质，特别是群论的演讲。我们将慷慨地为与会者分配时间进行非正式讨论和富有成果的交流。这些将包括国际知名专家、研究生或希望进入快速发展领域的年轻研究人员。会议记录将被编辑，并汇集与会者的贡献。本次会议适切地献给Grigorchuk教授50岁生日，他在数学各个不同领域的众多贡献阐明了本次会议的目标。