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Geometry and Physics Miami - Brazil - Mexico - Conference

几何与物理迈阿密 - 巴西 - 墨西哥 - 会议

基本信息

批准号：
1201544
负责人：
Ludmil Katzarkov
金额：
$ 3万
依托单位：
University of Miami
依托单位国家：
美国
项目类别：
Standard Grant
财政年份：
2012
资助国家：
美国
起止时间：
2012-02-01 至 2013-01-31
项目状态：
已结题

来源：
https://www.nsf.gov/awardsearch/showAward?AWD_ID=1201544&HistoricalAwards=false
关键词：
Geometry Physics Miami Brazil Mexico

项目摘要

This conference will take place January 23-27, 2012 in Miami. The conference webpage is at http://www.math.berkeley.edu/~auroux/miami2012.htmlKontsevich's formulation of Homological Mirror Symmetry (HMS) and its subsequent extension to more general settings involve algebraic and geometric tools such as Lagrangian intersection theory, some new derived categories, or noncommutative Hodge structures. Recently, Homological Mirror Symmetry has transformed from a phantasy to a leading field in modern geometry. This was achieved in part due to constant exchange of information among the leaders of the field of Homological Mirror Symmetry (Kontsevich, Soibelman, Orlov, Auroux , Abouzaid, Fukaya, Seidel, Zaslow, Pantev, Gross, Siebert, Mikhalkin, Zharkov, Thomas, Smith, Katzarkov, Bridgeland, Frenkel, Okounkov, Bezrukavnikov, Bridgeland, Pandharipande)with physicists (Vafa, Hori, Gukov, Kapustin, Neitzke, Douglas, Diaconescu). This exchange was mainly done during month-long activities taking place every winter in Miami. In addition, many young people were attracted to this field: Sheridan, Preigel, Izik, Pandit, Favero, Kerr, Ballard, Diemer, Dykerhoff. This conference will enable these fruitful exchanges to continue.While mirror symmetry initially arose from phenomena in string theory, this very active subject at the interface between mathematics and physics has acquired increasing mathematical stature. Numerous works have shown the relevance to mirror symmetry of new and subtle mathematical structures. This conference will extend the success of previous activities by branching out in a new field of dissemination - creating a new University of Miami, Cinvestav, Campinas institute featuring two conferences per year and exchange of postdocs and students. These conferences will be happening in winter and will be partially supported by University of Miami, Cinvestav, and Campinas.

本次会议将于2012年1月23日至27日在迈阿密举行。会议的网页是http：//www.math.berkeley.edu/Kontsevich的同调镜像对称（HMS）公式及其随后的扩展到更一般的设置涉及代数和几何工具，如拉格朗日相交理论，一些新的衍生类别，或非交换霍奇结构。近年来，同调镜像对称已经从一个幻影理论发展成为现代几何学的一个重要领域。这是实现部分由于不断交流信息的领导人之间的领域同调镜像对称性（孔采维奇，Soibelman，奥尔洛夫，Auroux，Abouzaid，福谷，赛德尔，Zaslow，Pantev，格罗斯，Siebert，Mikhalkin，Zharkov，托马斯，史密斯，Katzarkov，Bridgeland，Frenkel，Okounkov，Bezrukavnikov，Bridgeland，Pandharipande）与物理学家（瓦法，Hori，Gukov，Kapustin，Neitzke，道格拉斯，Diaconescu）。这种交流主要是在每年冬天在迈阿密举行的为期一个月的活动中进行的。此外，许多年轻人被吸引到这个领域：谢里丹，Preigel，Izik，Pandit，Favero，Kerr，Ballard，Diemer，Dykerhoff。这次会议将使这些富有成果的交流得以继续。镜像对称最初起源于弦理论中的现象，而这个在数学和物理学之间非常活跃的学科已经获得了越来越高的数学地位。许多著作都表明了镜像对称与新的、微妙的数学结构的相关性。本次会议将通过在新的传播领域扩展以往活动的成功-创建一个新的迈阿密大学，辛韦斯塔夫，坎皮纳斯研究所，每年举行两次会议，并交换博士后和学生。这些会议将在冬季举行，并将部分由迈阿密，辛韦斯塔夫和坎皮纳斯大学的支持。