The Baylor Analysis Conference: From Operator Theory to Orthogonal Polynomials, Combinatorics, and Number Theory

贝勒分析会议：从算子理论到正交多项式，将于2020年5月18日至22日在德克萨斯州韦科贝勒大学举行。本次会议将汇集来自世界各地的学者，在广泛的分析领域和其他数学领域进行富有成效的科学交流。它将为高级和早期职业研究人员与高级研究生之间的互动提供一个方便的框架，并将促进不同领域研究人员之间的互动。作为一个显著的特点，这次会议将使广泛的研究人员群体接触到通常超出其专业领域的相关工作。会议的主题包括算子和谱理论、特殊函数和正交多项式，以及它们与组合学、概率论和数论的联系。作为一个跨学科的会议，它有可能激发参与领域的协同作用和思想的相互交融。此外，我们正在目睹光谱和散射理论、概率论、随机矩阵理论和枚举组合学（如随机矩阵的渐近分析、随机增长模型和使用正交多项式方法的组合问题以及借鉴逆散射和可积系统工具箱的黎曼-希尔伯特技术）中的分析方法的快速发展，并且，作为结果，这些方法可以解决新的问题。该奖项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知识价值和更广泛的影响审查标准进行评估，认为值得支持。

The Baylor Analysis Conference: From Operator Theory to Orthogonal Polynomials, takes place May 18-22, 2020 at Baylor University, Waco, TX. This conference will bring together scholars from around the world for fruitful scientific exchange in a broad range of areas of analysis and other fields of mathematics. It will give a convenient framework for interaction of senior and early-career researchers and advanced graduate students, and it will facilitate interaction among researchers working in different areas. As a distinguishing feature, this meeting will expose a wide-ranging group of researchers to related work that is normally outside their area of specialization. The conference is organized around topics including operator and spectral theory, special functions and orthogonal polynomials, and their connections with combinatorics, probability theory, and number theory. As an interdisciplinary conference, it has the potential to stimulate synergy and cross-fertilization of ideas from the participating areas. Moreover, we are witnessing a fast development of analytic methods in spectral and scattering theory, probability theory, random matrix theory, and enumerative combinatorics (such as asymptotic analysis of random matrices, random growth models and combinatorial problems using the orthogonal polynomials approach and the Riemann-Hilbert techniques borrowed from the inverse scattering and integrable systems toolbox), and, as a consequence, new problems and questions come within reach of these methods. Conference website: https://www.baylor.edu/math/conference.This 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.