Conference on representations, quantization, and supergeometry
Conference on representations, quantization, and supergeometry
批准号:
1124929
负责人:
Alexander Karabegov
金额:
$2.64万
依托单位国家:
美国
项目类别:
Standard Grant
财政年份:
2011
资助国家:
美国
项目状态:
已结题
起止时间:
2011-06-01 至 2012-05-31
中文摘要
拟议的项目是支持美国的数学家和物理学家,研究生和博士后参加在波兰的比亚洛维萨举行的表示论,量子化和超几何会议,时间为2011年6月26日至7月2日。会议的主题包括局部流群和其他无限维群和李代数的表示,以及超群和李超代数,通过转移的Hochschild上链的形式定理,使用Kashiwara-Schapira的层的微局部理论构造紧致辛流形的微分分次范畴,“怪物月光”和顶点算子代数,基于量子普适Teichmueller空间、奇辛几何和Batalin-Vilkovissky形式的三维量子引力的量子化,以及手征de Rham复体与广义复结构之间的关系,顶点代数体和超几何。会议汇集了研究人员谁作出了重大贡献表示论,量子化和超级数学。这三个场之间的相互作用是现代数学物理的主要驱动力之一。会议的形式、地点和设施为研究人员之间以及与研究生和博士后之间的互动提供了一个亲密的研究环境,并为年轻的研究人员提供了一个向国际观众展示他们工作的机会。更多信息可以在会议网页http://wgmp.uwb.edu.pl/上找到
英文摘要
The proposed project is to support participation by USA-based mathematicians and physicists, graduate students, and post-docs, in the conference on representation theory, quantization, and supergeometry to be held in Bialowieza, Poland, during the week of June 26 - July 2, 2011. The topics of the conference include representations of local current groups and other infinite-dimensional groups and Lie algebras, together with supergroups and Lie superalgebras, formality theorems for Hochschild cochains via transfer, construction of differential graded categories for compact symplectic manifolds using the microlocal theory of sheaves by Kashiwara-Schapira, "monstrous moonshine" and vertex operator algebras, quantization of three-dimensional quantum gravity based on the quantum universal Teichmueller space, odd symplectic geometry and the Batalin-Vilkovissky formalism, and relations between the chiral de Rham complex and generalized complex structures, vertex algebroids and supergeometry.The conference brings together researchers who have made significant contributions to representation theory, quantization, and super-mathematics. The interaction between these three fields has been one of the major driving forces of the modern mathematical physics. The format of the conference, its location and facilities provide an intimate research environment for the interaction of established researchers with each other and with graduate students and post-docs, and give an opportunity to younger researchers to present their work to an international audience.Additional information can be found on the conference web page http://wgmp.uwb.edu.pl/
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