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The Topology of Real Algebraic Varieties: Deterministic and Random Aspects

The Topology of Real Algebraic Varieties: Deterministic and Random Aspects
实代数簇的拓扑:确定性和随机方面
批准号:
1711567
负责人:
Rares Rasdeaconu
金额:
$1.2万
依托单位:
依托单位国家:
美国
项目类别:
Standard Grant
财政年份:
2017
资助国家:
美国
项目状态:
已结题
起止时间:
2017-04-15 至 2019-03-31

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中文摘要
翻译
关于“真实的代数变种的拓扑结构:确定性和随机方面”的Shanks研讨会将于2017年3月10日至11日在纳什维尔的范德比尔特大学举行。该研讨会汇集了领先的研究人员与不同的背景,但共同的研究兴趣领域的真实的代数几何。重点是枚举和随机方面的拓扑结构的真实的代数簇。会议的主要目标是促进主要在北方美洲和法国的研究人员之间的讨论和合作。研讨会的规模较小,为研究生和年轻研究人员提供了与该领域专家互动的理想环境。真实的代数几何领域,特别是真实的代数簇的拓扑研究,采用了各种各样的技术,从辛几何,热带几何,以及更传统的工具,如复杂的代数几何,拓扑流形和变换群。近年来,我们目睹了壮观的发展源于辛几何,复分析和概率。该研讨会汇集了来自许多这些领域的研究人员,确保参与者之间共享该领域的大量技术。特别是,演讲将致力于在真实的代数簇的枚举几何(Georgieva,牛,Tukachinsky),概率方法真实的枚举几何(Basu,伦德伯格)和新的方向在研究真实的代数流形(Gabrielov,Sottile)的最新进展。欲了解更多详细信息,请参阅研讨会的网页:https://my.vanderbilt.edu/ragworkshop/。
英文摘要
The Shanks workshop on "The Topology of Real Algebraic Varieties: Deterministic and Random Aspects" will take place on March 10-11, 2017, at Vanderbilt University, Nashville, TN. The workshop brings together leading researchers with different backgrounds, but common research interests in the area of real algebraic geometry. The emphasis is on enumerative and random aspects in the topology of real algebraic varieties. The main goal of the meeting is to facilitate discussions and collaborations in a focused setting, between researchers mostly in Northern America but also in France. The small size of the workshop provides an ideal environment for graduate students and young researchers to interact with experts in the field. The field of real algebraic geometry, and in particular the study of the topology of real algebraic varieties, employs a wide variety of techniques, ranging from symplectic geometry, tropical geometry, as well as more traditional tools such as complex algebraic geometry, topology of manifolds and transformation groups. In the recent years we have witnessed spectacular developments stemming from symplectic geometry, complex analysis and probability. This workshop brings together researchers from many of these areas, assuring that the vast amount of techniques available in the field are shared among its participants. In particular, the presentations will be devoted to the recent progress in the enumerative geometry of real algebraic varieties (Georgieva, Niu, Tukachinsky), a probabilistic approach to real enumerative geometry (Basu, Lundberg) and to new directions in the study of real algebraic manifolds (Gabrielov, Sottile).For more details, see the webpage of the workshop: https://my.vanderbilt.edu/ragworkshop/ .
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会议论文
Workshop: Real Enumerative Geometry and Beyond; Nashville, TN; March 6-7, 2020
  • 批准号:
    2002974
  • 项目类别:
    Standard Grant
  • 资助金额:
    $0.9万
  • 财政年份:
    2020
  • 负责人:
    Rares Rasdeaconu
  • 依托单位:
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