Mathematical Sciences: Research Proposal in Algebraic Geometry
Mathematical Sciences: Research Proposal in Algebraic Geometry
批准号:
9503249
负责人:
Ron Donagi
金额:
$7.46万
依托单位国家:
美国
项目类别:
Continuing Grant
财政年份:
1995
资助国家:
美国
项目状态:
已结题
起止时间:
1995-06-01 至 1999-05-31
中文摘要
9503249 Donagi教授将研究代数几何与可积系统理论相互作用产生的问题。特别是,他将研究镜像对称,曲线在雅可比矩阵中的正规函数,几何朗兰兹猜想以及非阿贝尔函数与阿贝尔化函数的连接的相容性。这是代数几何领域的研究,但它直接关系到本世纪理论物理学的两大进步——量子力学和广义相对论。代数几何本身是现代数学中最古老的部分之一,但在过去的四分之一个世纪里,它已经有了革命性的发展。在它的起源中,它处理的图形可以用最简单的方程,即多项式,在平面上定义。如今,该领域不仅使用代数的方法,还使用分析和拓扑的方法,相反,它在这些领域以及物理学、理论计算机科学和机器人技术中也得到了应用。***
英文摘要
9503249 Donagi Professor Donagi will study problems that derive from the interaction of algebraic geometry with the theory of integrable systems. In particular, he will study mirror symmetry, normal functions of curves in their Jacobians, the geometpic Langlands conjecture and the compatibility of connections of non-abelian theta functions with an abelianized version. This is research in the field of algebraic geometry, yet it directly connects to two of the great advances in theoretical physics in this century--quantum mechanics and general relativity. Algebraic geometry itself is one of the oldest parts of modern mathematics, but one which has had a revolutionary flowering in the past quarter-century. In its origin, it treated figures that could be defined in the plane by the simplest equations, namely polynomials. Nowadays the field makes use of methods not only from algebra, but from analysis and topology, and conversely is finding application in those fields as well as in physics, theoretical computer science, and robotics. ***
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Algebraic Geometry and Strings
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批准号:2401422
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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:2024
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负责人:Ron Donagi
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依托单位:
FRG: Collaborative Research: New birational invariants
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批准号:2244978
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项目类别:Continuing Grant
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资助金额:$48.34万
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财政年份:2023
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负责人:Ron Donagi
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依托单位:
Research in Mathematical Physics and Algebraic Geometry
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批准号:2001673
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项目类别:Continuing Grant
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资助金额:$52.0万
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财政年份:2020
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负责人:Ron Donagi
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依托单位:
Collaborative Research: AGNES: Algebraic Geometry NorthEastern Series
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批准号:1937524
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项目类别:Standard Grant
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资助金额:$3.0万
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财政年份:2019
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负责人:Ron Donagi
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依托单位:
Research at the Interface of Algebraic Geometry and String Theory
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批准号:1603526
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项目类别:Continuing Grant
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资助金额:$51.0万
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财政年份:2016
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负责人:Ron Donagi
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依托单位:
String Math Conferences 2014, June 9-13, 2014
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批准号:1401390
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项目类别:Standard Grant
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资助金额:$10.0万
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财政年份:2014
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负责人:Ron Donagi
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依托单位:
Algebraic Geometry in String Theory
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批准号:1304962
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项目类别:Continuing Grant
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资助金额:$33.7万
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财政年份:2013
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负责人:Ron Donagi
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依托单位:
SM: A Conference Series on Mathematical String Theory
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批准号:0963840
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项目类别:Standard Grant
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资助金额:$6.0万
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财政年份:2010
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负责人:Ron Donagi
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依托单位:
Research Proposal in Algebraic Geometry and String Theory
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批准号:0908487
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项目类别:Standard Grant
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资助金额:$48.08万
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财政年份:2009
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负责人:Ron Donagi
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依托单位:
Research Project in Algebraic Geometry and String Theory
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批准号:0612992
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项目类别:Continuing Grant
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资助金额:$28.46万
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财政年份:2006
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负责人:Ron Donagi
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依托单位:
FRG: The Geometry of Superstrings
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批准号:0139799
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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:2002
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负责人:Ron Donagi
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依托单位:
Research Proposal in Algebraic Geometry and String Theory
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批准号:0104354
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项目类别:Continuing Grant
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资助金额:$37.5万
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财政年份:2001
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负责人:Ron Donagi
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依托单位:
Algebraic Geometry and String Theory
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批准号:9802456
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项目类别:Continuing Grant
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资助金额:$18.34万
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财政年份:1998
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负责人:Ron Donagi
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依托单位:
Mathematical Sciences: Moduli of Vector Bundles and other Problems in Algebraic Geometry
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批准号:9008113
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项目类别:Continuing Grant
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资助金额:$7.27万
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财政年份:1990
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负责人:Ron Donagi
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依托单位:
Mathematical Sciences: Periods and Moduli Spaces
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批准号:8712298
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项目类别:Continuing Grant
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资助金额:$12.43万
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财政年份:1987
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负责人:Ron Donagi
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依托单位:
Mathematical Sciences: Periods of Algebraic Varieties
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批准号:8502798
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项目类别:Continuing Grant
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资助金额:$4.63万
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财政年份:1985
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负责人:Ron Donagi
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依托单位:
Moduli of Complex Abelian Varieties
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批准号:8102643
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项目类别:Standard Grant
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资助金额:$4.02万
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财政年份:1981
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负责人:Ron Donagi
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依托单位:
国内基金
海外基金
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