Geometry and Physics Miami - Brazil - Mexico - Conference

本次会议将于2012年1月23日至27日在迈阿密举行。会议网页是http://www.math.berkeley.edu/~auroux/miami2012.htmlKontsevich's同调镜像对称（HMS）的公式及其后续扩展到更一般的设置涉及代数和几何工具，如拉格朗日交点理论，一些新的衍生范畴，或非交换霍奇结构。近年来，同调镜像对称已经从一个幻想转变为现代几何的一个领先领域。这在一定程度上是由于同形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）之间不断交换信息。这种交流主要是在迈阿密每年冬天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果的交流得以继续。虽然镜像对称最初起源于弦理论中的现象，但这个非常活跃的学科在数学和物理之间的接口已经获得了越来越高的数学地位。大量的工作已经表明了新的和微妙的数学结构与镜像对称的相关性。这次会议将扩大以往活动的成功，扩展到一个新的传播领域——创建一个新的迈阿密大学坎皮纳斯分校，每年举办两次会议，并交换博士后和学生。这些会议将在冬季举行，并将由迈阿密大学、Cinvestav和Campinas提供部分支持。

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.