Summer School on Fractal Geometry and Complex Dimensions

分形几何和复维度暑期学校

• 批准号: 1600758
• 负责人: Erin Pearse
• 金额: $ 4.5万
• 依托单位: California Polytechnic State University Foundation
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 2016
• 资助国家: 美国
• 起止时间: 2016-01-01 至 2016-12-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=1600758&HistoricalAwards=false
• 关键词: Summer; Fractal; Geometry; Complex; Dimensions

This award provides funding to help defray the expenses of participants in the "Summer School on Fractal Geometry and Complex Dimensions" that will be held June 14-22, 2016, on the campus of the California Polytechnic State University-San Luis Obispo.The summer school will offer three mini-courses aimed at introducing nonexperts to the frontiers of a range of topics, including the following: fractal geometry, dimension theory, complex dimensions, distance and tube zeta functions, and analysis on fractals topics. The organizers will lead a day of primer lectures and workshops (at an undergraduate level) preparing nonspecialist participants for the plenary lectures and aforementioned mini-courses. The selected topics include geometry of fractal subsets of the real line and of higher dimensional Euclidean spaces, complex dimensions and zeta functions, analytic number theory, and analysis on fractals with connections to geometric measure theory, quasicrystals and noncommutative geometry, stochastic processes, and thermodynamic formalism. The event allows for plenary lectures (90 minutes) from well-known experts, short research communications, poster sessions, and discussion sessions. The summer school will place special emphasis on preparing undergraduate students for further research in mathematics (independently or at later activities, like REUs).

该奖项提供资金，以帮助支付将于2016年6月14日至22日在加州理工州立大学圣路易斯奥比斯波分校举办的“分形几何和复杂维度暑期学校”的参与者的费用。暑期学校将提供三门迷你课程，旨在向非专家介绍一系列主题的前沿，包括以下内容：分形几何，维数理论，复维数，距离和管zeta函数，以及分形主题的分析。组织者将领导一天的初级讲座和研讨会（本科水平），为全体讲座和上述迷你课程的非专业参与者做好准备。选定的主题包括几何分形子集的真实的线和高维欧几里德空间，复杂的尺寸和zeta函数，解析数论，并分析分形与连接的几何测度理论，准晶体和非交换几何，随机过程和热力学形式主义。该活动允许知名专家的全体讲座（90分钟），简短的研究交流，海报会议和讨论会。暑期学校将特别强调准备本科生在数学进一步研究（独立或在以后的活动，如雷乌斯）。