Conference on Partitions, q-series, and Modular Forms

2008年3月，佛罗里达大学数学系将举办一个关于分区、q系列和模块形式的会议，其中包括一个学生研讨会。本次会议是2007-08年为期一年的代数、数论和组合学项目的亮点之一。会议将汇集数论学家和组合学家来分享和学习新的方法和结果。会议的一个重要目的是让研究生和本科生参与进来。第一部分的工作坊是为了让学生为接下来的研究会议做准备。划分理论和q级数是数论的中心领域，与组合学、分析学、模形式理论、计算机代数和物理学有相互作用。印度数学天才Srinivasa Ramanujan在这个领域做出了惊人的贡献。会议的主题将包括Rogers-Ramanujan型恒等式，椭圆超几何函数，配分同余，模形式和模拟函数。本次研究会议的一个特别之处将是Ken Ono的一系列讲座，介绍最近连接模拟theta函数和模块形式的开创性工作。来自佛罗里达大学的三位会议组织者——Alexander Berkovich、FrankGarvan和PI——组成了划分理论、q级数和模形式理论以及拉马努金数学的主要小组。通过与分区和拉马努金工作的主要权威乔治·安德鲁斯（George Andrews）的联系和合作，他们的项目实力得到了加强。这次会议是建立在佛罗里达大学数论学家先前进行的几个成功项目的基础上的。

In March 2008, the Mathematics Department of the University of Florida will conduct a conferenceon Partitions, q-series and modular forms, which will include in it a Student Workshop.This conference is one of the highlights of a year long program on Algebra, Number Theory, and Combinatorics in 2007-08. The conference will bring together number theorists and combinatorialiststo share and learn new methods and results. An important aim of the conference is toinvolve graduate students and advanced undergraduates. The Workshop in the first part is to prepare students for the Research Conference to follow.The theory of partitions and q-series is a central area of number theory having interactionswith combinatorics, analysis, the theory of modular forms, computer algebra, and physics. Itis an area where the Indian mathematical genius Srinivasa Ramanujan has made spectacularcontributions. Topics covered in the conference will include Rogers-Ramanujan type identities,elliptic hypergeometric functions, partition congruences, modular forms and mock theta functions.A special feature of the research conference will be a series of lectures by Ken Ono onrecent pathbreaking work connecting mock theta functions and modular forms.The three conference organizers from the University of Florida - Alexander Berkovich, FrankGarvan, and the PI - form one the major groups the theory of partitions, q-series, and modularforms, and the mathematics of Ramanujan. The strength of their program has been enhancedby association and collaboration with George Andrews, the premier authority on partitions andRamanujan's work. This conference builds on several successful programs conducted previouslyby the number theorists at the University of Florida.