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Poisson Geometry Conference

Poisson Geometry Conference
泊松几何会议
批准号:
1711110
负责人:
Michael Gekhtman
金额:
$2.8万
依托单位:
依托单位国家:
美国
项目类别:
Standard Grant
财政年份:
2017
资助国家:
美国
项目状态:
已结题
起止时间:
2017-04-01 至 2018-06-30

项目摘要

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中文摘要
翻译
该奖项支持将于2017年5月4日至7日在圣母大学举行的第六届泊松几何大会。泊松几何会议系列由对泊松几何及其应用感兴趣的数学家在北美举行的定期会议组成,吸引了领先的专家和年轻的研究人员。该系列的目的是促进受物理学中出现的问题启发的数学家与寻找新的数学工具的物理学家之间的互动。这些会议还为来自美国各地的初级数学家提供了一个独特的论坛,让他们了解泊松几何的前沿发展,并传播他们自己在该领域的研究成果。泊松几何起源于经典力学的数学表述,是量子力学的半经典极限。它的历史始于泊松、汉密尔顿、雅各比和李的经典工作,大约在1980年通过利奇诺维茨和温斯坦的工作发展成为一个独立的领域。今天,泊松几何影响并受到许多相邻的数学领域的影响,包括辛几何、广义复几何、李代数体和李群胚、几何力学、簇代数、可积系统、量子化、非交换几何、分层理论以及奇辛和泊松结构的几何。《消失的捕鱼》工作坊提供了一个绝佳的机会,让从事相关领域工作的不同团体的成员从不同的角度交流新想法,促进合作。每个讲习班的目标都是讨论这一主题的重要问题和未来方向。会议网址:http://www3.nd.edu/~conf/pgc2017/
英文摘要
This award supports the sixth Poisson Geometry Conference to be held at the University of Notre Dame on May 4-7, 2017. The Poisson Geometry Conference series consists of regular meetings in North America of mathematicians interested in Poisson geometry and its applications, attracting leading experts and young researchers alike. The aim of the series is to promote interaction between mathematicians inspired by problems arising in physics, and physicists searching for new mathematical tools. The meetings also serve as a unique forum for junior mathematicians from all over the United States to learn about cutting edge developments in Poisson geometry and to disseminate their own research results in the field. Poisson geometry originated as the mathematical formulation of classical mechanics as the semiclassical limit of quantum mechanics. Its history began with classical work by Poisson, Hamilton, Jacobi, and Lie, developing into a separate field in its own right around 1980 via the work of Lichnerowicz and Weinstein. Today, Poisson geometry influences and is influenced by many adjacent areas of mathematics, including symplectic geometry, generalized complex geometry, Lie algebroids and Lie groupoids, geometric mechanics, cluster algebras, integrable systems, quantization, non-commutative geometry, stratification theory, and the geometry of singular symplectic and Poisson structures. The "Gone Fishing" workshops provide an excellent opportunity for members of various groups working on related areas from different perspectives to exchange new ideas and stimulate collaboration. The goal of each workshop is to address important questions and future directions of the subject. Conference website: http://www3.nd.edu/~conf/pgc2017/
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会议论文
Collaborative Research: Generalized Cluster Structures on Poisson Varieties and Applications
  • 批准号:
    2100785
  • 项目类别:
    Standard Grant
  • 资助金额:
    $25.0万
  • 财政年份:
    2021
  • 负责人:
    Michael Gekhtman
  • 依托单位:
Collaborative Research: Generalized Cluster Structures of Geometric Type
  • 批准号:
    1702054
  • 项目类别:
    Continuing Grant
  • 资助金额:
    $30.0万
  • 财政年份:
    2017
  • 负责人:
    Michael Gekhtman
  • 依托单位:
Quivers and Bipartite Graphs: Physics and Mathematics
  • 批准号:
    1636087
  • 项目类别:
    Standard Grant
  • 资助金额:
    $1.6万
  • 财政年份:
    2016
  • 负责人:
    Michael Gekhtman
  • 依托单位:
COLLABORATIVE RESEARCH: CLUSTER STRUCTURES ON POISSON-LIE GROUPS AND COMPLETE INTEGRABILITY
  • 批准号:
    1362801
  • 项目类别:
    Continuing Grant
  • 资助金额:
    $20.97万
  • 财政年份:
    2014
  • 负责人:
    Michael Gekhtman
  • 依托单位:
国内基金
海外基金
2019年度国际理论物理中心-ICTP School on Geometry and Gravity (smr 3311)
  • 批准号:
    11981240404
  • 项目类别:
    国际(地区)合作与交流项目
  • 资助金额:
    1.5万元
  • 批准年份:
    2019
  • 负责人:
    季丹丹
  • 依托单位:
新型IIIB、IVB 族元素手性CGC金属有机化合物(Constrained-Geometry Complexes)的合成及反应性研究
  • 批准号:
    20602003
  • 项目类别:
    青年科学基金项目
  • 资助金额:
    26.0万元
  • 批准年份:
    2006
  • 负责人:
    自国甫
  • 依托单位: