Connections between curves, automorphic forms, and L-functions

曲线、自守形式和 L 函数之间的联系

• 批准号: 1400905
• 负责人: John Jones
• 金额: $ 4.5万
• 依托单位: Arizona State University
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 2014
• 资助国家: 美国
• 起止时间: 2014-01-01 至 2014-12-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=1400905&HistoricalAwards=false
• 关键词: Connections; between; curves; automorphic; forms

This funding is for the conference "Curves and Automorphic Forms" to be held at Arizona State University from March 10th to 14th, 2014. There will be approximately 10 speakers and an anticipated 75 participants. The theme will be extensions of the modularity theorem for elliptic curves over the rationals. Talks will describe work on computations of elliptic curves over number fields and of hyperelliptic curves over the rationals, on the conjecturally corresponding modular forms (e.g., Hilbert, Siegel, Bianchi), and on associated L-functions. The format will be a hybrid of a traditional conference and a workshop with lectures in the morning and afternoons devoted to collaborative work. We hope that bringing together experts on these various objects will encourage collaborations in new directions.By its very nature, the conference seeks to connect different areas of mathematical research, and thus should be useful in exposing researchers of all levels to ideas which have increasing importance. The grant includes funding for graduate students, postdocs, young researchers, and mathematicians from underrepresented groups. We hope that the conference will draw not only mathematicians who work directly in these areas, but also others from neighboring areas of mathematics. Part of the workshop activities will be to incorporate results from computations into the L-function and Modular Form Database, http://www.LMFDB.org, which provides data and information on mathematical objects for both researchers and a general mathematical audience. The conference website can be found at http://hobbes.la.asu.edu/lmfdb-14.

这笔资金是针对2014年3月10日至14日在亚利桑那州立大学举行的“曲线和自动形态”的会议。将有大约10名演讲者和预期的75名参与者。 主题将是椭圆曲线的模块化定理的扩展。 谈判将描述椭圆形曲线在数字场上的计算和理由上的过性曲线的计算，对构想相应的模块化形式（例如Hilbert，Siegel，Bianchi）以及相关的L函数。 该格式将是一个传统会议的混合体和一个在早上和下午进行合作工作的讲座的研讨会。 我们希望将这些各种对象的专家汇集在一起​​，将鼓励在新方向上进行合作。本质上，会议试图将数学研究的不同领域联系起来，因此对于将所有级别的研究人员暴露到越来越重要的思想方面应该有用。该赠款包括为研究生，博士后，年轻研究人员和来自代表性不足的团体的数学家提供资金。我们希望会议不仅会吸引直接在这些领域工作的数学家，还会吸引其他数学领域的数学家。 研讨会活动的一部分将是将计算结果纳入L功能和模块化表单数据库http://www.lmfdb.org，该数据库为研究人员和一般数学受众提供了有关数学对象的数据和信息。 会议网站可以在http://hobbes.la.asu.edu/lmfdb-14上找到。