Summer School on Fractal Geometry and Complex Dimensions

该奖项将于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，旨在帮助支付“分数几何与复数维暑期班”的参与者的费用。暑期班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：分形几何、维理论、复数维、距离和管Zeta函数，以及对分形学主题的分析。组织者将领导一天的入门讲座和研讨会(本科生水平)，为全体讲座和上述小型课程的非专业参与者做准备。所选主题包括实线和高维欧几里德空间的分形子集的几何，复维和Zeta函数，解析数论，以及与几何测度论、准晶和非对易几何、随机过程和热力学形式有关的分形学的分析。该活动允许知名专家的全体讲座(90分钟)、简短的研究交流、海报会议和讨论会议。暑期班将特别强调为本科生准备进一步的数学研究(独立或在以后的活动中，如REUS)。

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).