Homological Mirror Symmetry Conference Miami

迈阿密同调镜像对称会议

• 批准号: 1303069
• 负责人: Ludmil Katzarkov
• 金额: $ 3.65万
• 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: 2013
• 资助国家: 美国
• 起止时间: 2013-01-15 至 2013-12-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=1303069&HistoricalAwards=false
• 关键词: Homological; Mirror; Symmetry; Conference; Miami

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.

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.html 虽然镜像对称最初源于弦理论中的现象，但数学和物理之间的这一活跃领域已被证明与许多数学结构相关。 特别是，拉格朗日交集理论和Floer同调理论、可积系统和穿墙、派生范畴和更高范畴以及非交换Hodge结构的方法都与同调镜像对称性密切相关。 同调镜像对称性研究的主题范围广泛，需要这样的场所，特别是对于早期职业研究人员来说，可以了解并了解当前的主题。本次会议的主要议题将是穿墙、稳定性Hodge结构和拓扑量子场论。将有 3 门讲座课程，由 M. Kontsevich、M. Abouzaid 和 S. Keel 讲授。将有两场讨论会。这次会议将传播成果并吸引年轻的研究人员加入这些项目。考虑到为代表性不足的群体提供机会的所有因素。该会议还将促进美国研究人员与参加会议的国际参与者之间的互动。 这对于美国的研究生来说尤其有利，并且应该会导致许多数学界的代表之间进行富有成效的思想交流。此外，这次会议将是“回馈物理学”的一种手段。该主题开头的许多想法都来自弦理论——镜像对称。现在是数学方面回馈物理学的时候了。我们研究的判别位点上的奇点对应于一种新的 6d 型物理理论。 这样，循环就结束了。