L-functions and Arithmetic
L-functions and Arithmetic
批准号:
1601028
负责人:
Barry Mazur
金额:
$4.9万
依托单位:
依托单位国家:
美国
项目类别:
Standard Grant
财政年份:
2016
资助国家:
美国
项目状态:
已结题
起止时间:
2016-04-01 至 2018-03-31
关键词:
中文摘要
2016年6月13日至16日期间,哈佛大学将举办一场以l函数和算术为主题的纯数学会议。会议的目的是聚集领先的专家和年轻的研究人员,讨论数论和算术几何的解析和代数方面之间联系的最新发展。这种研究可以应用于网络安全、密码学和编码理论的某些方面。NSF资金的很大一部分将用于资助初级参与者(如研究生和博士后)的旅行和住房。在为期四天的会议中,数论和算术几何方面的专家将会有17场讲座。会议计划将集中讨论Iwasawa理论(交换和非交换)的最新发展;伽罗瓦表示的新欧拉系统的构造;Stark猜想与等变Tamagawa数猜想模形式、Selmer群和l值的p进插值以及最近在阶级群体、Selmer群体和mordel - weil群体的平均行为研究方面取得的突破
英文摘要
During the period June 13-16, 2016, Harvard University will host a conference in pure mathematics on the theme of L-functions and Arithmetic. The purpose of the conference is to gather together leading experts and young researchers to discuss recent developments on the connections between analytic and algebraic aspects of number theory and arithmetic geometry. Such research has applications to cyber security, through cryptography, and to some aspects of coding theory. A significant portion of NSF funding will be used to fund the travel and housing of junior participants (e.g. graduate students and postdocs). Over the four days of the conference there will be seventeen lectures by experts in number theory and arithmetic geometry. The conference program will focus on recent developments in (commutative and noncommutative) Iwasawa theory; the construction of new Euler systems for Galois representations; Stark's conjecture and the equivariant Tamagawa number conjecture; p-adic interpolation of modular forms, Selmer groups, and L-values; and recent breakthroughs in the study of average behaviors of class groups, Selmer groups, and Mordell-Weil groups.See:http://abel.harvard.edu/conferences/rubin16/index.html
期刊论文(0)
专著(0)
科研奖励(0)
会议论文
FRG: Collaborative Research: Definability and Computability over Arithmetically Significant Fields
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批准号:2152149
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项目类别:Standard Grant
-
资助金额:$20.32万
-
财政年份:2022
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负责人:Barry Mazur
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依托单位:
Number Theory and Related Fields
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批准号:1302409
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项目类别:Standard Grant
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资助金额:$19.3万
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财政年份:2013
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负责人:Barry Mazur
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依托单位:
Number Theory and Related Fields
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批准号:0968831
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项目类别:Continuing Grant
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资助金额:$20.33万
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财政年份:2010
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负责人:Barry Mazur
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依托单位:
Number Theory and Related Fields
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批准号:0700580
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项目类别:Continuing Grant
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资助金额:$0.0万
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财政年份:2007
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负责人:Barry Mazur
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依托单位:
Eigenvarieties
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批准号:0514066
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项目类别:Standard Grant
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资助金额:$0.0万
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财政年份:2005
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负责人:Barry Mazur
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依托单位:
Number Theory and Related Fields
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批准号:0403374
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项目类别:Continuing Grant
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资助金额:$0.0万
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财政年份:2004
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负责人:Barry Mazur
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依托单位:
Mathematical Sciences: Conference on Recent Developments in Number Theory; Cambridge, Mass. May 6-10, 1985
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批准号:8415199
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项目类别:Standard Grant
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资助金额:$1.8万
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财政年份:1985
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负责人:Barry Mazur
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依托单位:
Mathematical Sciences: Some Questions Concerning Drinfeld's Elliptic Modules and Higher-Dimensional Generalizations
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批准号:8405081
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项目类别:Continuing Grant
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资助金额:$1.36万
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财政年份:1984
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负责人:Barry Mazur
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依托单位:
Mathematical Sciences: Topology and Geometry
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批准号:8310880
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项目类别:Continuing Grant
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资助金额:$39.73万
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财政年份:1983
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负责人:Barry Mazur
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依托单位:
Units in Number Fields
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批准号:8104761
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项目类别:Standard Grant
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资助金额:$3.16万
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财政年份:1981
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负责人:Barry Mazur
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依托单位:
Topology and Geometry
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批准号:8006104
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项目类别:Continuing Grant
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资助金额:$31.19万
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财政年份:1980
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负责人:Barry Mazur
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依托单位:
海外基金