Tropical Geometry Workshop

热带几何工作坊

• 批准号: 1138935
• 负责人: Josephine Yu
• 金额: $ 3万
• 依托单位: Georgia Tech Research Corporation
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 2011
• 资助国家: 美国
• 起止时间: 2011-09-15 至 2012-08-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=1138935&HistoricalAwards=false
• 关键词: Tropical; Geometry; Workshop

Tropical geometry is a young and rapidly growing area in mathematics, rooted in algebraic geometry, complex analysis, commutative algebra, and combinatorics, with successful applications in computer science, biology and statistical physics, in addition to other areas of mathematics. Tropical geometry is a polyhedral analogue of algebraic geometry. Algebraic varieties over a valued field are replaced by polyhedral complexes, retaining some invariants of the original algebraic varieties. Tropical geometry provides a framework for solving algebro-geometric problems using concrete combinatorial tools. Recent years have seen tremendous development in tropical geometry that both established the field as an area in its own right and unveiled its deep connections to numerous branches of pure and applied mathematics.A workshop on Tropical Geometry will be held at International Centre for Mathematical meetings (CIEM) in Castro Urdiales, Cantabria, Spain, on December 12-16, 2011. It will be the first major international event in tropical geometry in two years and will as such serve to display the most recent developments, to foster interaction within a geographically wide-spread community, to initiate new collaborations, and to sustain and broaden the mentoring network within the field. The workshop will have 22 invited talks, a poster session, a software presentation, and a special discussion session devoted to open problems. The list of speakers includes senior as well as young promising researchers and all leading female mathematicians in the field. Graduate students and early career researchers will be able to showcase their work and get feedback from leading experts at the poster session. Around 60 participants, including around 30% from under-represented groups, are expected. To disseminate the results of the workshop to a wider audience, slides and notes from the presentations and discussions will be placed on the web. Conference proceedings of refereed articles on tropical geometry will also be published.

热带几何是数学中一个年轻而迅速发展的领域，它植根于代数几何、复分析、交换代数和组合学，除了数学的其他领域外，还成功地应用于计算机科学、生物学和统计物理。热带几何是代数几何的多面体类比。值域上的代数簇被多面体复形代替，保留了原代数簇的一些不变量。热带几何为使用具体的组合工具解决代数几何问题提供了一个框架。近年来，热带几何有了巨大的发展，这不仅使该领域成为一个独立的领域，而且揭示了它与理论数学和应用数学的许多分支的深刻联系。热带几何研讨会将于2011年12月12-16日在西班牙坎塔布里亚卡斯特罗·乌尔代尔的国际数学会议中心(CIEM)举行。这将是两年来热带几何领域的第一次重大国际活动，因此将有助于展示最新的发展，促进地理上广泛的社区内的互动，发起新的合作，并维持和扩大该领域内的指导网络。研讨会将有22次特邀讲座、一次海报会议、一次软件演示和一次专门讨论开放问题的特别讨论。演讲者名单包括资深和年轻的有前途的研究人员和该领域所有领先的女性数学家。研究生和早期职业研究人员将能够在海报会议上展示他们的工作，并从领先专家那里获得反馈。预计将有大约60名参与者，其中约30%来自代表性不足的群体。为了向更广泛的受众传播讲习班成果，将在网上发布专题介绍和讨论的幻灯片和笔记。有关热带几何的审阅文章的会议记录也将发表。