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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/.

该奖项支持参加国际会议“算术2015：椭圆曲线，丢番图几何和动力学”将于2015年8月11日至15日在普罗维登斯的布朗大学举行。会议将汇集专家，年轻的研究人员和研究生在算术几何和数论的广泛定义的领域工作。它将为研究生和青年研究人员提供一个与主要专家互动并了解最新成果的机会。预计会议将吸引约200名与会者。它将有23位杰出的特邀演讲者沿着，并有一个海报会议，突出了研究生和最近的博士生的工作。该补助金将支持大约30名研究生和年轻教师的参与，以及几位受邀演讲者。椭圆曲线，丢番图几何和算术动力学的研究都是经典的，甚至是古老的，多项式方程整数解研究的现代延伸。在许多重要的概念领域，两个主要的想法在于接近心脏的所有三个主题：研究合理的点代数簇，理论的算术高度功能。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。更多信息可以在会议网站http://math.colorado.edu/arithmetic2015/上找到。