Homological Mirror Symmetry Conference Miami

该项目支持将于2013年1月28日至2月1日在佛罗里达的迈阿密大学举行的同调镜像对称会议。 更多信息可以在会议网站上找到：http://math.berkeley.edu/~auroux/miami2013.htmlWhile镜像对称最初起源于弦理论中的现象，这个数学和物理之间的活跃领域已经被证明与许多数学结构有关。 特别是，拉格朗日相交理论和弗洛尔同调理论的方法，可积系统和跨壁，导出和更高的类别，以及非交换霍奇结构都与同调镜像对称密切相关。 同调镜像对称研究的广泛主题需要这样的场所，特别是对于早期职业研究人员来说，要了解并跟上当前的主题。这次会议的主要议题将是跨壁，稳定性霍奇结构和拓扑量子场论。将有三个讲座课程，由M。Kontsevich，M。Abouzaid和S.龙骨将有两个讨论会。会议将传播成果，并吸引一批年轻的研究人员加入这些项目。已考虑到为代表性不足的群体提供机会的所有问题。会议还将促进美国研究人员与将出席会议的国际与会者之间的互动。 这对美国的研究生特别有益，并应导致许多数学界代表之间富有成效的思想交流。此外，这次会议将是一种“回馈物理学”的手段。“这个主题开始时的许多想法来自弦理论-镜像对称。是时候让数学回归物理学了。我们所研究的判别轨迹上的奇点对应于一个新的6d型物理理论。 这样，循环就结束了。

This project supports a conference on Homological Mirror Symmetry to be held at the University of Miami, Florida, from January 28 - February 1, 2013. More information can be found on the conference website: http://math.berkeley.edu/~auroux/miami2013.htmlWhile mirror symmetry initially arose from phenomena in string theory, this active area at the interface between mathematics and physics has been shown to be relevant to numerous mathematical structures. In particular, methods from Lagrangian intersection theory and Floer homology theory, integrable systems and wall-crossing, derived and higher categories, and non-commutative Hodge structures are all intimately connected with homological mirror symmetry. The wide range of topics in homological mirror symmetry research necessitates venues such as this, particularly for early-career researchers to be introduced to and stay abreast of current topics. The main topics of this conference will be wall crossing, stability Hodge structures and topological quantum field theories. There will be 3 lecture courses, by M. Kontsevich, by M. Abouzaid and by S. Keel. There will be two discussion sessions. The conference will result in dissemination of results and getting a young wave of researchers to join these projects. All considerations on giving opportunities to underrepresented groups were taken. The conference will also serve to facilitate interactions between US-based researchers and international participants who will be attended the conference. This will be particularly beneficial for US-based graduate students and should lead to a fruitful exchange of ideas among representatives of many mathematical communities. In addition, the conference will be a means of "giving back to physics." Many of the ideas at the beginning of the subject come from String theory - Mirror Symmetry. It is time for the mathematical aspect to give back to physics. The singularities on the discriminant loci we study correspond to a new physics theory of 6d type. In this way the circle comes to a close.