Homological Mirror Symmetry Conference Miami

该项目支持将于2013年1月28日至2月1日在佛罗里达州迈阿密大学举行的同源镜像对称会议。更多的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的现象，这个活跃的领域在数学和物理之间的界面已经被证明与许多数学结构相关。特别是拉格朗日交点理论和Floer同调理论、可积系统和wall-crossing、派生和高级范畴、非交换Hodge结构等方法都与同调镜像对称密切相关。同源镜像对称研究中广泛的主题需要这样的场所，特别是对于早期职业研究人员来说，需要向他们介绍并跟上当前的主题。本次会议的主要议题将是壁穿越，稳定性霍奇结构和拓扑量子场论。一共有三节课，分别是Kontsevich， Abouzaid和S. Keel。将有两个讨论环节。这次会议将导致成果的传播，并吸引一批年轻的研究人员加入这些项目。关于给予代表人数不足的群体机会的一切考虑都已进行。这次会议还将有助于促进美国科学家与将出席会议的国际参与者之间的互动。这将特别有利于美国的研究生，并将导致许多数学界代表之间富有成效的思想交流。此外，这次会议将成为“回馈物理学”的一种手段。这门学科一开始的许多观点都来自于弦理论——镜像对称。是时候让数学回归物理了。我们研究的鉴别位点上的奇点对应于一种新的6d型物理理论。这样，这个圆圈就结束了。

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.