Mathematical Sciences: Workshop on p-adic Monodromy and the Birch-Swinnerton-Dyer Conjecture; August 12-16, 1991, Boston, MA.

数学科学：p-adic Monodromy 和 Birch-Swinnerton-Dyer 猜想研讨会；

• 批准号: 9109048
• 负责人: Glenn Stevens
• 金额: $ 0.75万
• 依托单位: Trustees of Boston University
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 1991
• 资助国家: 美国
• 起止时间: 1991-06-01 至 1992-05-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=9109048&HistoricalAwards=false
• 关键词: Mathematical; Sciences; Workshop; adic; Monodromy

There have been many recent results in the p-adic theory of modular forms, with emphasis on p-adic periods and p-adic analogues of the conjecture of Birch and Swinnerton-Dyer. The workshop supported by this grant will high-light the L-invariant, which appears as a factor of the leading Taylor coefficient of the p-adic L-function of a 'split multiplicative' newform. At least five independent interpretations of this invariant have been proposed in recent years. By bringing researchers together to discuss the underlying ideas, the workshop will contribute to a deeper understanding of the interdependence between p-adic Hodge theory, analogues of the conjecture of Birch and Swinnerton-Dyer, p-adic uniformization theory, p-adic differential equations, and deformations of Galois representations. The workshop will be held at Boston University in August, 1991, and will bring together the leading researchers in this area from the United States and abroad. It will have a profound effect on the graduate students and recent Ph.D.s who attend. The results of the workshop will be published in a conference proceedings.

在模形式的p-进给理论中已经有了许多新的结果，其中重点是关于p-进周期和P-进与Birch和Swinnerton-Dyer猜想的类似。由这笔赠款支持的研讨会将突出L不变量，它看起来是‘分裂乘法’新形式的p-进L函数的主导泰勒系数的一个因子。近年来，至少有五种对这种不变量的独立解释被提出。通过将研究人员聚集在一起讨论基本思想，工作坊将有助于更深入地理解p-进Hodge理论、Birch和Swinnerton-Dyer猜想的类似物、p-进均匀化理论、p-进微分方程式和伽罗瓦表示的变形之间的相互依赖。研讨会将于1991年8月在波士顿大学举行，来自美国和国外的这一领域的领先研究人员将汇聚一堂。它将对在校的研究生和新近获得博士学位的学生产生深远的影响。研讨会的成果将在一次会议记录中公布。