Geometry and Physics Miami - Brazil - Mexico - Conference

几何与物理迈阿密 - 巴西 - 墨西哥 - 会议

• 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

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。 会议网页位于http://www.math.berkeley.edu/~auroux/miami2012.htmlKontsevich的同调镜像对称（HMS）公式及其随后扩展到更一般设置的涉及代数和几何工具，例如拉格朗日交集理论、一些新的派生范畴或非交换霍奇结构。最近，同调镜像对称已经从一个幻想转变为现代几何学的一个主导领域。这一成果的实现部分归功于同调镜像对称领域的领导者（Kontsevich、Soibelman、Orlov、Auroux、Abouzaid、Fukaya、Seidel、Zaslow、Pantev、Gross、Siebert、Mikhalkin、Zharkov、Thomas、Smith、Katzarkov、Bridgeland、Frenkel、Okounkov、 Bezrukavnikov、Bridgeland、Pandharipande）与物理学家（Vafa、Hori、Gukov、Kapustin、Neitzke、Douglas、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，许多年轻人也被这个领域所吸引：Sheridan、Preigel、Izik、Pandit、Favero、Kerr、Ballard、Diemer、Dykerhoff。这次会议将使这些富有成效的交流得以继续。虽然镜面对称最初源于弦理论中的现象，但这个处于数学和物理之间非常活跃的学科已经获得了越来越高的数学地位。许多著作都展示了新的、微妙的数学结构的镜像对称性的相关性。本次会议将通过拓展新的传播领域来延续以往活动的成功——创建一个新的迈阿密大学、西维斯塔夫、坎皮纳斯学院，每年举办两次会议以及博士后和学生的交流。这些会议将在冬季举行，并将得到迈阿密大学、西维斯塔夫大学和坎皮纳斯大学的部分支持。