RTG: Number Theory and Arithmetic Geometry at Berkeley
RTG: Number Theory and Arithmetic Geometry at Berkeley
批准号:
1646385
负责人:
Martin Olsson
金额:
$239.72万
依托单位国家:
美国
项目类别:
Continuing Grant
财政年份:
2017
资助国家:
美国
项目状态:
已结题
起止时间:
2017-07-15 至 2024-06-30
中文摘要
加州大学伯克利分校数论和算术几何研究培训小组(RTG)将建立一系列活动,让从本科生到高级教师的所有职业阶段的研究人员参与。指导目标是创建一种以研究小组为基础的方法来培训学生和博士后,使他们能够充分利用彼此和高级教师的广泛专业知识和经验,并为本科生提供接触小组研究的机会,并指导计划攻读相关高级学位的学生。RTG将为研究人员的发展和促进合作提供一个统一的结构。RTG的活动包括研究工作坊、新研究研讨会、本科生会议和本科生辅导。隶属于RTG的教师的研究专长涵盖了数论和算术几何以及几个相关领域的广泛主题,如代数几何、表示理论和逻辑。作为该奖项的一部分,进行的研究将包括关于自同构形、Arakelov几何、Shimura簇、朗兰兹对应、p-进上同调理论、动机、代数动力学和对数几何的工作。项目活动将把参与者的许多研究活动整合成一个连贯的研究小组,促进进一步的合作和更广泛的培训。
英文摘要
The Research Training Group (RTG) in Number Theory and Arithmetic Geometry at UC Berkeley will establish a number of activities involving researchers at all career stages ranging from undergraduates to senior faculty. The guiding aim is to create a research group based approach to the training of students and postdocs, enabling them to take full advantage of the wide expertise and experience of each other and the senior faculty, and to provide access for undergraduates to the research of the group and to mentor students planning to pursue related advanced degrees. The RTG will provide a unifying structure for the development of researchers and to foster collaborations. Activities of the RTG include research workshops, new research seminars, undergraduate conferences, and undergraduate mentoring. The research expertise of the faculty affiliated with the RTG covers a wide range of topics in number theory and arithmetic geometry, as well as several related fields such as algebraic geometry, representation theory, and logic. The research conducted as part of this award will include work on automorphic forms, Arakelov geometry, Shimura varieties, Langlands correspondence, p-adic cohomology theories, motives, algebraic dynamics, and log geometry. The project activities will integrate the many research activities of the participants into a coherent research group fostering further collaborations and more extensive training.
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An Evertse–Ferretti Nevanlinna constant and its consequences
Evertse-Ferretti Nevanlinna 常数及其后果
DOI:
10.1007/s00605-021-01600-1
发表时间:
2021
期刊:
Monatshefte für Mathematik
影响因子:
--
作者:
[Ru, Min, Vojta, Paul]
通讯作者:
Vojta, Paul
The polylog quotient and the Goncharov quotient in computational Chabauty–Kim Theory I
计算 Chabauty 中的多对数商和 Goncharov 商 — Kim 理论 I
DOI:
10.1142/s1793042120500967
发表时间:
2020
期刊:
International Journal of Number Theory
影响因子:
0.7
作者:
[Corwin, David, Dan-Cohen, Ishai]
通讯作者:
Dan-Cohen, Ishai
The Brauer group of the moduli stack of elliptic curves over algebraically closed fields of characteristic 2
特征 2 的代数闭域上椭圆曲线模堆的布劳尔群
DOI:
10.1016/j.jpaa.2018.08.010
发表时间:
2019
期刊:
Journal of Pure and Applied Algebra
影响因子:
0.8
作者:
[Shin, Minseon]
通讯作者:
Shin, Minseon
Moments and interpretations of the Cohen–Lenstra–Martinet heuristics
Cohen-Lenstra-Martinet 启发法的时刻和解释
DOI:
10.4171/cmh/514
发表时间:
2021
期刊:
Commentarii Mathematici Helvetici
影响因子:
0.9
作者:
[Wang, Weitong, Wood, Melanie Matchett]
通讯作者:
Wood, Melanie Matchett
Solutions of equations involving the modular $j$ function
涉及模 $j$ 函数的方程的解
DOI:
10.1090/tran/8244
发表时间:
2021
期刊:
Transactions of the American Mathematical Society
影响因子:
1.3
作者:
[Eterović, Sebastian, Herrero, Sebastián]
通讯作者:
Herrero, Sebastián
共 28 条
FRG: Collaborative Research: Higher Categorical Structures in Algebraic Geometry
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批准号:2151946
-
项目类别:Standard Grant
-
资助金额:$27.05万
-
财政年份:2022
-
负责人:Martin Olsson
-
依托单位:
Derived Categories and Other Invariants of Algebraic Varieties
-
批准号:1902251
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项目类别:Continuing Grant
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资助金额:$17.0万
-
财政年份:2019
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负责人:Martin Olsson
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依托单位:
Moduli Spaces, Derived Categories, and Motives
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批准号:1601940
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项目类别:Continuing Grant
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资助金额:$16.96万
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财政年份:2016
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负责人:Martin Olsson
-
依托单位:
Independence of l and local terms
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批准号:1303173
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项目类别:Standard Grant
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资助金额:$18.0万
-
财政年份:2013
-
负责人:Martin Olsson
-
依托单位:
CAREER: Stacks, moduli spaces, and log geometry
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批准号:0748718
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项目类别:Continuing Grant
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资助金额:$40.0万
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财政年份:2008
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负责人:Martin Olsson
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依托单位:
Algebraic stacks and their applications
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批准号:0714086
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项目类别:Standard Grant
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资助金额:$9.69万
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财政年份:2006
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负责人:Martin Olsson
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依托单位:
Algebraic stacks and their applications
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批准号:0555827
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项目类别:Standard Grant
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资助金额:$12.5万
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财政年份:2006
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负责人:Martin Olsson
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依托单位:
Compactification of Moduli Spaces and Logarithmic Geometry
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批准号:0102066
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项目类别:Fellowship Award
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资助金额:$9.0万
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财政年份:2001
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负责人:Martin Olsson
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依托单位:
国内基金
海外基金
关于群上的短零和序列及其cross number的研究
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批准号:11501561
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项目类别:青年科学基金项目
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资助金额:18.0万元
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批准年份:2015
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负责人:王林林
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依托单位: