The Topology of Real Algebraic Varieties: Deterministic and Random Aspects

Shanks研讨会将于2017年3月10日至11日在田纳西州纳什维尔的范德比尔特大学举行，主题为“实代数簇的拓扑：确定性和随机性”。研讨会汇集了具有不同背景但在真实代数几何领域有共同研究兴趣的领先研究人员。重点是实代数簇的拓扑中的可枚举性和随机性。会议的主要目标是促进集中讨论和合作，主要是在北美和法国的研究人员之间进行讨论和合作。研讨会的面积很小，为研究生和年轻研究人员与该领域的专家互动提供了理想的环境。实代数几何领域，特别是对实代数簇的拓扑的研究，使用了各种各样的技术，从辛几何到热带几何，以及更传统的工具，如复代数几何、流形的拓扑和变换群。近年来，我们目睹了辛几何、复分析和概率论的惊人发展。这次研讨会汇集了来自这些领域的研究人员，确保参与者分享该领域的大量可用技术。特别是，演讲将致力于实代数簇的计数几何(Georgieva，Niu，Tukachinsky)的最新进展，实数列几何的概率方法(Basu，Lundberg)以及实代数流形研究的新方向(Gabrielov，Sottile)。有关更多细节，请参见研讨会的网页：https://my.vanderbilt.edu/ragworkshop/。

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/ .