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

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:
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
项目状态:
已结题
起止时间:
2016-03-01 至 2017-02-28

项目摘要

项目成果

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中文摘要
翻译
该奖项支持美国与会者参加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“辛几何与拓扑学”会议。辛拓扑是一门发展迅速的数学分支,最初是用来理解经典力学和几何光学中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、代数和数学物理相关的数学重要分支之一。这导致了令人着迷的交叉受精,使辛拓扑成为许多现代数学发展的核心。ICMS的会议将集中在辛几何和拓扑学领域的最新发展。会议将允许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。会议集中讨论了四个核心问题:1.全纯曲线(代数结构和基本问题);2.辛微分同态群;3.辛填充的最新进展;4.辛结构(新构造和辛结构的空间)。其目的是聚集辛拓扑和相关领域的专家,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。会议网址为:http://www.icms.org.uk/workshops/symplectic
英文摘要
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
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会议论文
Conformal Symplectic Structures, Contact Structures, Foliations, and Their Interactions
  • 批准号:
    2104473
  • 项目类别:
    Continuing Grant
  • 资助金额:
    $45.0万
  • 财政年份:
    2021
  • 负责人:
    Yakov Eliashberg
  • 依托单位:
Symplectic Topology of Weinstein Manifolds and Related Topics
  • 批准号:
    1807270
  • 项目类别:
    Continuing Grant
  • 资助金额:
    $40.73万
  • 财政年份:
    2018
  • 负责人:
    Yakov Eliashberg
  • 依托单位:
Towards the Border of Symplectic Rigidity and Flexibility
  • 批准号:
    1505910
  • 项目类别:
    Continuing Grant
  • 资助金额:
    $45.7万
  • 财政年份:
    2015
  • 负责人:
    Yakov Eliashberg
  • 依托单位:
Rigid and Flexible Symplectic Topology
  • 批准号:
    1205349
  • 项目类别:
    Continuing Grant
  • 资助金额:
    $31.99万
  • 财政年份:
    2012
  • 负责人:
    Yakov Eliashberg
  • 依托单位:
海外基金