Workshop Proposal: Cohen-Lenstra Heuristics

“科恩-伦斯特拉启发式”研讨会将于2013年4月3日至5日在芝加哥伊利诺伊大学举行。这是UIC一年一度的奥利弗·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类群的Cohen-Lenstra启发式，以及它们最近与其他数学领域的联系，尤其是拓扑学。本次研讨会的组织者是Ramin taklo - bighash（芝加哥伊利诺伊大学）和Akshay Venkatesh（斯坦福大学）。特邀演讲嘉宾有Thomas Church（斯坦福大学）、Jordan Ellenberg（威斯康星大学）、Wei Ho（哥伦比亚大学）、Andy Putman（莱斯大学）、Arul Shankar （IAS）、Frank Thorne（南卡罗来纳州）、Jacob Tsimerman（哈佛大学）、Akshay Venkatesh（斯坦福大学）、Craig Westerland（墨尔本大学）和Melanie Matchett Wood（威斯康星大学）。类群和类数在数论中具有重要的基础意义，自19世纪高斯的基础工作以来一直是人们研究的热点。科恩-伦斯特拉启发式是一系列令人惊讶的猜想，它预测了这些物体在二次场设置中的更精细的行为。汇集在该领域工作的专家将创造一个交流思想和启动新项目的环境，从而更好地理解这些基本目标。更多信息可以在网站的研讨会上找到：http://www.math.uic.edu/~rtakloo/atkin2013.html

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