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Recent Advances in Algebraic Geometry

Recent Advances in Algebraic Geometry
代数几何的最新进展
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

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中文摘要
翻译
“代数几何的最新进展”会议将于2013年5月16日至19日在密歇根大学安阿伯举行。 会议背后的动机是在过去的十年中取得了非凡的进展,在我们的理解几何的高维代数品种,以及在该地区,如霍奇理论,枚举几何,或syzygies。 它将汇集代数几何领域的顶尖专家,向观众介绍过去几年的重大发展,提出新的研究方向,并建立不同子领域之间的联系。 以下主题将代表在会议上:最小模型程序及其应用,消失定理和乘数理想,派生类别和应用,霍奇理论和复杂的几何,模空间和枚举几何,交换和计算代数。 关于会议的更多细节,以及确认的发言者名单,可在会议网站上查阅,在http://homepages.math.uic.edu/~mpopa/robfest/The会议将集中在代数几何的一些杰出的最新发展。 演讲者的选择是基于他们对该领域的研究贡献,也是因为他们的技能和对年轻一代数学研究人员和教师发展的奉献精神。 有些产生了许多最重要的教科书和先进的专着在代数几何在过去几十年中,介绍了许多今天的代数geometers积极的研究课题,并已成为一个主要力量在发展领域作为一个整体。 因此,我们希望希望年轻的研究人员能够踊跃参加会议,了解并与他们的小组成员分享广泛主题中的当前问题。这些讲座将为年轻观众提供大量的讲座和教学内容,对他们来说,有时很难跟上该领域的快速发展。
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
D-modules and invariants of singularities
Hodge Filtration on Local Cohomology and Minimal Exponents
Facets of Algebraic Geometry
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