Arithmetic 2015: Elliptic Curves, Diophantine Geometry, and Dynamics

算术 2015：椭圆曲线、丢番图几何和动力学

基本信息

批准号：
1517886
负责人：
Jeffrey Hoffstein
金额：
$ 2.95万
依托单位：
Brown University
依托单位国家：
美国
项目类别：
Standard Grant
财政年份：
2015
资助国家：
美国
起止时间：
2015-07-01 至 2016-06-30
项目状态：
已结题

来源：
https://www.nsf.gov/awardsearch/showAward?AWD_ID=1517886&HistoricalAwards=false
关键词：
Arithmetic 2015 Elliptic Curves Diophantine

项目摘要

This award supports participation in the international conference "Arithmetic 2015: Elliptic Curves, Diophantine Geometry, and Dynamics" to be held at Brown University in Providence, RI from August 11 - 15, 2015. The conference will bring together experts, young researchers, and graduate students working in the broadly-defined areas of arithmetic geometry and number theory. It will provide an opportunity for graduate students and young researchers to interact with leading experts and to learn about recent results. The conference is expected to attract approximately 200 participants. It will feature 23 distinguished invited speakers along with a poster session highlighting the work of graduate students and recent Ph.D.s. The grant will support the participation of approximately 30 graduate students and young faculty, as well as several of the invited speakers.The study of elliptic curves, diophantine geometry, and arithmetic dynamics are all modern extensions of the classical, even ancient, study of integer solutions to polynomial equations. Among the many important concepts in the field, two principal ideas lie close to the heart of all three topics: the study of rational points on algebraic varieties, and the theory of arithmetic height functions. The conference will foster collaboration across these different areas of arithmetic geometry and number theory by focusing on these two unifying themes. More information can be found at the conference website http://math.colorado.edu/arithmetic2015/.

该奖项支持参加将于 2015 年 8 月 11 日至 15 日在罗德岛普罗维登斯布朗大学举行的国际会议“算术 2015：椭圆曲线、丢番图几何和动力学”。该会议将汇集专家、年轻研究人员和研究广泛定义的算术几何和数论领域的研究生。它将为研究生和年轻研究人员提供与领先专家互动并了解最新成果的机会。此次会议预计将吸引约200名与会者。会议将邀请 23 名杰出的受邀演讲者，并举办海报会议，重点介绍研究生和近期博士生的工作。这笔赠款将支持大约 30 名研究生和年轻教师以及几位受邀演讲者的参与。椭圆曲线、丢番图几何和算术动力学的研究都是古典甚至古代整数研究的现代延伸多项式方程的解。在该领域的许多重要概念中，有两个主要思想接近所有三个主题的核心：代数簇上有理点的研究和算术高度函数的理论。会议将通过关注这两个统一的主题，促进算术几何和数论这些不同领域的合作。更多信息请访问会议网站http://math.colorado.edu/arithmetic2015/。