Geometry and Physics Miami - Brazil - Mexico - Conference

这次会议将于2012年1月23日至27日在迈阿密举行。会议的网页是同调镜像对称性的http://www.math.berkeley.edu/~auroux/miami2012.htmlKontsevich‘s公式，它随后扩展到更一般的环境，涉及代数和几何工具，如拉格朗日交理论，一些新的派生范畴，或非对易的霍奇结构。近年来，同调镜面对称已从空想转变为现代几何学的主导领域。这在一定程度上是由于同源镜像对称领域的领导者(康采维奇、索贝尔曼、奥尔洛夫、奥鲁、阿布扎伊德、福卡亚、塞德尔、扎斯洛、潘特夫、格罗斯、西伯特、米哈尔金、扎尔科夫、托马斯、史密斯、卡扎尔科夫、布里奇兰、弗伦克尔、奥孔科夫、别鲁卡夫尼科夫、布里奇兰、潘达里潘德)与物理学家(瓦法、霍里、古科夫、卡普斯汀、内茨克、道格拉斯、迪亚康内斯库)不断交换信息。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，这一领域还吸引了许多年轻人：谢里登、普雷格尔、伊齐克、潘迪特、法维罗、科尔、巴拉德、迪默、戴克霍夫。这次会议将使这些富有成效的交流继续下去。镜像对称最初是从弦理论的现象中产生的，而这一在数学和物理交界处非常活跃的学科已经获得了越来越高的数学地位。许多著作已经表明了新的和微妙的数学结构与镜像对称性的相关性。这次会议将通过在一个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坎皮纳斯学院，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，并将得到迈阿密大学、克尼萨夫大学和坎皮纳斯大学的部分支持。

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.