Conference on Symplectic Geometry and Topology at the International Center for Mathematical Sciences

国际数学科学中心辛几何和拓扑会议

• 批准号: 1608194
• 负责人: Yakov Eliashberg
• 金额: $ 1.82万
• 依托单位: Stanford University
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 2016
• 资助国家: 美国
• 起止时间: 2016-03-01 至 2017-02-28
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=1608194&HistoricalAwards=false
• 关键词: Conference; Symplectic; Geometry; Topology; International

This award supports travel for US-based participants in the conference "Symplectic Geometry and Topology" at the International Center for Mathematical Sciences (ICMS), Edinburgh, Scotland, UK, held July 25-29, 2016. Symplectic topology is a rapidly developing branch of mathematics, which originated as a geometric tool for understanding qualitative problems of classical mechanics and geometric optics. Since its inception in 1980s, it quickly became one of important branches of mathematics interrelated with topology, dynamics, complex analysis, algebraic geometry, algebra, and mathematical physics. This led to fascinating cross-fertilizations, making symplectic topology a centerpiece of many modern mathematical developments. The conference at ICMS will be concentrated on recent developments in the fields of symplectic geometry and topology. The meeting will allow students and young mathematicians to learn about new research and to interact with a senior outstanding mathematicians taking part in the conference. This award supports participation of US students, postdoctoral associates, and young mathematicians. The conference focuses on four core topics: 1. Holomorphic curves (algebraic structures and foundational problems); 2. Groups of symplectic diffeomorphisms; 3. Recent advances in symplectic packings; and4. Symplectic structures (new constructions and spaces of symplectic structures). The objective is to bring together specialists in symplectic topology and related areas to discuss recent progress in the field and to catalyze efforts for achieving further breakthroughs in these areas. The conference website is http://www.icms.org.uk/workshops/symplectic

该奖项为参加2016年7月25日至29日在英国苏格兰爱丁堡国际数学科学中心（ICMS）举行的“辛几何与拓扑”会议的美国与会者提供旅费。辛拓扑学是一个发展迅速的数学分支，它起源于理解经典力学和几何光学定性问题的几何工具。自20世纪80年代创立以来，它迅速成为与拓扑学、动力学、复分析、代数几何、代数、数学物理等学科相结合的重要数学分支之一。这导致了迷人的交叉受精，使辛拓扑成为许多现代数学发展的核心。ICMS会议将集中讨论辛几何和拓扑学领域的最新发展。会议将使学生和青年数学家了解新的研究，并与参加会议的资深杰出数学家进行互动。该奖项支持美国学生、博士后助理和年轻数学家的参与。本次会议将围绕以下四个核心议题展开：1。全纯曲线（代数结构和基础问题）；2. 辛微分同态群；3. 辛填料的新进展；and4。辛结构（辛结构的新结构和空间）。目的是将辛拓扑和相关领域的专家聚集在一起，讨论该领域的最新进展，并促进在这些领域取得进一步突破的努力。会议网站是http://www.icms.org.uk/workshops/symplectic