Recent Advances in Algebraic Geometry
Recent Advances in Algebraic Geometry
批准号:
1262798
负责人:
Mircea Mustata
金额:
$4.97万
依托单位国家:
美国
项目类别:
Standard Grant
财政年份:
2013
资助国家:
美国
项目状态:
已结题
起止时间:
2013-03-01 至 2015-02-28
中文摘要
“代数几何的最新进展”会议将于2013年5月16日至19日在密歇根大学安娜堡分校举行。会议背后的动机是,在过去的十年里,我们在理解高维代数簇的几何以及在霍奇理论、计数几何或合并论等领域取得了非凡的进展。它将汇集代数几何领域的顶尖专家,向听众介绍过去几年的主要发展,提出新的研究方向,并在不同的子领域之间建立联系。以下主题将在会议上发表:最小模型程序及其应用、消失定理和乘子理想、派生范畴和应用、霍奇理论和复几何、模空间和计数几何、交换和计算代数。有关会议的更多细节,以及已确认的发言者名单,可在会议网站上查阅,http://homepages.math.uic.edu/~mpopa/robfest/The会议将重点介绍代数几何方面的一些突出的最新发展。选择发言者的依据是他们对该领域的研究贡献,但也是因为他们的解释技能和对培养年轻一代的数学研究人员和教师的奉献精神。在过去的几十年里,一些人出版了许多最重要的教科书和《代数几何》的高级专著,将许多当今的代数几何引入了活跃的研究主题,并成为整个领域发展的主要力量。因此,我们预计,希望了解当前各种主题的当前问题并与其小组成员分享的年轻研究人员将出席会议。演讲将包含针对年轻观众的大量说明性和说教部分,对他们来说,有时很难跟上该领域正在看到的快速发展。
英文摘要
The conference "Recent Advances in Algebraic Geometry" will be held May 16--19, 2013 at the University of Michigan, Ann Arbor. The motivation behind the conference is the extraordinary progress made in the past decade in our understanding of the geometry of higher dimensional algebraic varieties, as well as in areas such as Hodge theory, enumerative geometry, or syzygies. It will bring together leading experts in Algebraic Geometry, to inform the audience of the major developments of the past few years, to propose new research directions, and to establish connections between different subfields. The following themes will be represented at the conference: the Minimal Model Program and its applications, vanishing theorems and multiplier ideals, derived categories and applications, Hodge theory and complex geometry, moduli spaces and enumerative geometry, commutative and computational algebra. More details about the conference, as well as the list of confirmed speakers, are available at the conference website, at http://homepages.math.uic.edu/~mpopa/robfest/The conference will focus on some of the outstanding recent developments in Algebraic Geometry. The speakers have been chosen on the basis of their research contributions to the field, but also for their expository skills and dedication to the development of younger generations of researchers and teachers in mathematics. Some have produced many of the most important textbooks and advanced monographs in Algebraic Geometry in the last decades, have introduced many of today's algebraic geometers to active research topics, and have been a major force in developing the field as a whole. We therefore expect the conference to be well-attended by young researchers wishing to learn about, and then share with members of their groups, current questions in a wide spectrum of topics. The talks will contain a substantial expository and didactic component for this younger audience, for whom it is sometimes difficult to keep up to date with the rapid developments that the field is seeing.
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会议论文
Conference: Singularities in Ann Arbor
-
批准号:2401041
-
项目类别:Standard Grant
-
资助金额:$3.38万
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财政年份:2024
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负责人:Mircea Mustata
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依托单位:
D-modules and invariants of singularities
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批准号:2301463
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项目类别:Standard Grant
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资助金额:$35.0万
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财政年份:2023
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负责人:Mircea Mustata
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依托单位:
Hodge Filtration on Local Cohomology and Minimal Exponents
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批准号:2001132
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项目类别:Continuing Grant
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资助金额:$36.0万
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财政年份:2020
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负责人:Mircea Mustata
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依托单位:
Facets of Algebraic Geometry
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批准号:1904591
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项目类别:Standard Grant
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资助金额:$2.7万
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财政年份:2019
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负责人:Mircea Mustata
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依托单位:
A view towards algebraic geometry
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批准号:1702114
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项目类别:Standard Grant
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资助金额:$4.0万
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财政年份:2017
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负责人:Mircea Mustata
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依托单位:
Hodge-Theoretic Generalizations of Multiplier Ideals
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批准号:1701622
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项目类别:Continuing Grant
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资助金额:$36.0万
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财政年份:2017
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负责人:Mircea Mustata
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依托单位:
Questions on Singularities and Adjoint Linear Systems
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批准号:1401227
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项目类别:Standard Grant
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资助金额:$17.7万
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财政年份:2014
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负责人:Mircea Mustata
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依托单位:
FRG: Collaborative Research: Birational Geometry and Singularities in Zero and Positive Characteristic
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批准号:1265256
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项目类别:Continuing Grant
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资助金额:$31.28万
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财政年份:2013
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负责人:Mircea Mustata
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依托单位:
Invariants of Singularities in Zero and Positive Characteristic
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批准号:1068190
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项目类别:Continuing Grant
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资助金额:$29.06万
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财政年份:2011
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负责人:Mircea Mustata
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依托单位:
Frobenius Splitting in Algebraic Geometry, Commutative Algebra, and Representation Theory
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批准号:0968646
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项目类别:Standard Grant
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资助金额:$2.5万
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财政年份:2010
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负责人:Mircea Mustata
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依托单位:
Singularities: Geometric and Arithmetic Aspects
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批准号:0758454
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项目类别:Continuing Grant
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资助金额:$13.68万
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财政年份:2008
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负责人:Mircea Mustata
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依托单位:
Singularities in Algebraic Geometry
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批准号:0500127
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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:2005
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负责人:Mircea Mustata
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依托单位:
海外基金