Gone Fishing: A series of meetings in Poisson Geometry
Gone Fishing: A series of meetings in Poisson Geometry
批准号:
1342531
负责人:
Rui Loja Fernandes
金额:
$2.78万
依托单位国家:
美国
项目类别:
Standard Grant
财政年份:
2013
资助国家:
美国
项目状态:
已结题
起止时间:
2013-09-01 至 2015-08-31
中文摘要
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英文摘要
The unifying theme of the Gone Fishing workshops is Poisson Geometry, a field which lies at the intersection of Mathematical Physics and Geometry. It originates in the mathematical formulation of classical mechanics as the semiclassical limit of quantum mechanics. Poisson structures can be traced back to the 19th century classics by Poisson, Hamilton, Jacobi and Lie. Poisson Geometry as an independent field started around 1980 with the foundational works of Lichnerowicz and Weinstein. The field developed rapidly, stimulated by the connections with a large number of areas in mathematics and mathematical physics, including differential geometry and Lie theory, quantization, noncommutative geometry, representation theory and quantum groups, geometric mechanics and integrable systems. A number of major developments took place in the last 15 years; some of the highlights are Kontsevich's formality theorem, the study of Poisson-sigma models and the relationship to the integrability problem for Lie algebroids, the relation with the moduli space of flat connections and various moment map theories, singular reduction, (generalized) complex geometry, cluster algebras, etc.The Gone Fishing workshops aim to promote interaction between mathematicians, physicists and groups working on areas related to Poisson geometry from different points of view. They bring together leading experts and young researchers in these subjects to encourage more interaction and cross fertilization between different fields. This is becoming more and more urgent as these fields progress deeper. The workshops also provide an excellent opportunity for US based scientists to exchange ideas and promote possible collaborations. One important theme of each workshop is to address important questions and future directions of the subject. The next meetings of the Gone Fishing workshops are: Temple University, Philadelphia, (Sept. 28-29, 2013); and the University of California at Berkeley, (Sept./Oct 2014).URL: poissongeometry.org
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Symplectic groupoids and quantization of Poisson manifolds
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批准号:2303586
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项目类别:Standard Grant
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资助金额:$32.0万
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财政年份:2023
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负责人:Rui Loja Fernandes
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依托单位:
Summer School and Conference: Poisson 2022
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批准号:2210602
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项目类别:Standard Grant
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资助金额:$3.2万
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财政年份:2022
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负责人:Rui Loja Fernandes
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依托单位:
Geometric Structures on Lie Groupoids and their Applications
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批准号:2003223
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项目类别:Standard Grant
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资助金额:$26.91万
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财政年份:2020
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负责人:Rui Loja Fernandes
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依托单位:
Poisson Manifolds of Compact Types and Geometric Structures on Stacks
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批准号:1710884
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项目类别:Standard Grant
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资助金额:$17.4万
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财政年份:2017
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负责人:Rui Loja Fernandes
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依托单位:
Deformations and Rigidity in Poisson Geometry
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批准号:1405671
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项目类别:Standard Grant
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资助金额:$14.6万
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财政年份:2014
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负责人:Rui Loja Fernandes
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依托单位:
Poisson 2014: Summer School and Conference on Poisson Geometry in Mathematics and Physics, July 28-August 8, 2014
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批准号:1405965
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项目类别:Standard Grant
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资助金额:$3.0万
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财政年份:2014
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负责人:Rui Loja Fernandes
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依托单位:
Global Problems in Poisson Geometry and Related Structures
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批准号:1308472
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项目类别:Standard Grant
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资助金额:$21.73万
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财政年份:2013
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负责人:Rui Loja Fernandes
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依托单位:
海外基金