Cornell 7th Conference on Analysis, Probability, and Mathematical Physics on Fractals

第七届分析、概率和数学物理会议将于2020年6月9日至13日在康奈尔大学数学系举行。这次会议的主要目的是聚集分析、数学物理、分形学概率和其他研究领域的广泛研究人员，以进行科学交流、计划新项目以及教育和培训入门研究人员。从2002年开始，这些会议每三年举行一次。为期五天的会议将分为三个部分：上午由该领域的主要研究人员进行半小时的演讲，描述最近的重要进展；下午早些时候举行小型课程，使高级本科生、研究生和相关领域的研究人员能够学习该领域的一些基础知识并讨论重要的公开问题；以及在下午晚些时候的平行会议上进行20分钟的演讲，让所有与会者展示他们的研究成果。大量早期职业研究人员，包括来自康奈尔支线项目和康涅狄格大学REU项目的代表不足的群体成员和本科生，预计将从这些课程中受益。许多应用数学家和理论物理学家参加了这些会议，因此会议将有助于促进对这些领域感兴趣的数学界和物理界之间日益增长的互动。在当前的数学研究中，分形学的出现方式有很多种。本次会议的主题是那些底层空间是分形的，研究的主题包括微分方程的模拟、随机过程以及在这些分形空间上发生的物理相互作用的模型。由于Barlow、Perkins、Bass、Kusuoka、周和木上春树的开创性工作，有一个完善的、严格的数学框架来讨论这些问题。这次会议有望扩展到新的研究方向，包括关于非光滑空间和分形空间的位势分析、几何分析和概率分析的新趋势。会议网站ishttps://math.cornell.edu/7th-cornell-conference-analysis-probability-and-mathematical-physics-fractalsThis奖反映了美国国家科学基金会的法定使命，并通过使用基金会的智力优势和更广泛的影响审查标准进行评估，被认为值得支持。

The 7th Conference on Analysis, Probability and Mathematical Physics on Fractals will be held at Cornell University Mathematics Department from June 9-13, 2020. The main objective of this conference is to bring together a broad range of researchers in Analysis, Mathematical Physics, Probability on Fractals and other research areas for the purpose of scientific exchange, planning of new projects, and education and training of entering researchers. These conferences have been held every three years starting in 2002. The five-day meeting will be structured in three parts: half-hour talks in the mornings by leading researchers in the field to describe recent important advances; mini-courses in the early afternoons to enable advanced undergraduates, graduate students, and researchers from related fields to learn some of the foundations of the area and discuss important open problems, and 20-minute talks in parallel sessions in the late afternoons to allow all attendees to present their research. A large number of early-career researchers, including members of underrepresented groups and undergraduate students, from both the Cornell SPUR and University of Connecticut REU programs, are expected to benefit from these courses. A number of applied mathematicians and theoretical physicists attend these conferences, so the conference will help foster the growing interactions between the mathematics and physics communities with interests in these areas.There are many ways in which fractals appear in current mathematical research. The topics of this conference are those where the underlying space is fractal, and the subjects studied include the analogs of differential equations, random processes and models of physical interactions taking place on these fractal spaces. Due to the pioneering work of Barlow, Perkins, Bass, Kusuoka, Zhou and Kigami there is a well-established, rigorous mathematical framework for discussing such problems. This conference is expected to expand to new directions of research, including new trends in potential, geometric and probabilistic analysis on non-smooth and fractal spaces. The conference website ishttps://math.cornell.edu/7th-cornell-conference-analysis-probability-and-mathematical-physics-fractalsThis award reflects NSF's statutory mission and has been deemed worthy of support through evaluation using the Foundation's intellectual merit and broader impacts review criteria.