Workshop Proposal: Cohen-Lenstra Heuristics

关于"科恩-伦斯特拉启发式"的研讨会将于2013年4月3日至5日在芝加哥的伊利诺伊大学举行。这是UIC年度奥利弗阿特金纪念讲座和研讨会的一部分。研讨会的主题是二次域的类群的Cohen-Lenstra代数学，以及它们与其他数学领域，尤其是拓扑学的最近联系。这次研讨会的组织者是拉明·塔卢-比格阿什（芝加哥伊利诺伊大学）和阿克谢·文卡特什（斯坦福大学）。受邀的演讲者是托马斯丘奇（斯坦福大学）、乔丹·艾伦伯格（威斯康星大学）、何伟（哥伦比亚大学）、安迪·普特曼（赖斯大学）、阿鲁·尚卡尔（IAS）、弗兰克·索恩（南卡罗来纳州）、雅各布·齐默曼（哈佛大学）、阿克谢·文卡特什（斯坦福大学）、克雷格·韦斯特兰（墨尔本）和梅勒妮·马奇特·伍德（威斯康星州大学）。 类群和类数在数论中具有重要的基础性意义，自19世纪世纪以来，从高斯的基础性著作开始，一直是人们深入研究的主题。Cohen-Lenstra启发式是一系列令人惊讶的算法，它们预测了这些对象在二次场设置中的更精细行为。 将在该领域工作的专家聚集在一起，将创造一个交流思想和开始新项目的环境，从而更好地了解这些基本对象。更多信息可以在网站的研讨会上找到：www.example.com

A workshop on "Cohen-Lenstra Heuristics" will take place April 3-5, 2013 at the University of Illinois at Chicago. This is part of the annual Oliver Atkin Memorial Lecture and Workshop at UIC. The theme of the workshop is the Cohen-Lenstra heuristics for class groups of quadratic fields, and their recent connections to other areas of mathematics, most notably topology. The organizers of this workshop are Ramin Takloo-Bighash (University of Illinois at Chicago) and Akshay Venkatesh (Stanford). The invited speakers are Thomas Church (Stanford), Jordan Ellenberg (University of Wisconsin), Wei Ho (Columbia), Andy Putman (Rice), Arul Shankar (IAS), Frank Thorne (South Carolina), Jacob Tsimerman (Harvard), Akshay Venkatesh (Stanford), Craig Westerland (Melbourne), and Melanie Matchett Wood (University of Wisconsin). Class groups and class numbers are of fundamental importance in number theory and have been the subject of intense research since 19th century starting with the foundational works of Gauss. Cohen-Lenstra Heuristics are a series of surprising conjectures that predict the finer behaviors of these objects in the quadratic field setting. Bringing together experts working in the area will create an environment in which to exchange ideas and to start new projects, leading to a better understanding of these fundamental objects. Additional information can be found on the website's workshop: http://www.math.uic.edu/~rtakloo/atkin2013.html