Tropical Geometry Workshop

热带几何是数学中一个年轻而迅速发展的领域，植根于代数几何、复分析、交换代数和组合学，在计算机科学、生物学和统计物理学以及其他数学领域都有成功的应用。热带几何是代数几何的多面体类比。一个有值域上的代数变量被多面体复形所取代，保留了原始代数变量的一些不变量。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，热带几何取得了巨大的发展，既确立了该领域的独立地位，又揭示了它与众多纯数学和应用数学分支的深刻联系。热带几何研讨会将于2011年12月12日至16日在西班牙坎塔布里亚的卡斯特罗乌迪亚莱斯国际数学会议中心（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，并将以此展示最新的发展，促进地理上广泛分布的社区内的相互作用，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个邀请演讲，一个海报会议，一个软件演示和一个专门讨论开放问题的特别讨论会议。演讲者的名单包括资深和年轻的有前途的研究人员和所有领先的女数学家在该领域。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获得领先专家的反馈。预计约有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的成果，介绍和讨论的幻灯片和笔记将放在网上。关于热带几何的审定文章的会议论文集也将出版。

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.