String Math Conferences 2014, June 9-13, 2014

2014 年弦数学会议，2014 年 6 月 9-13 日

• 批准号: 1401390
• 负责人: Ron Donagi
• 金额: $ 10万
• 依托单位: University of Pennsylvania
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 2014
• 资助国家: 美国
• 起止时间: 2014-05-01 至 2018-04-30
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=1401390&HistoricalAwards=false
• 关键词: String; Math; Conferences; 2014; June

The 2014 String-Math Conference (SMC) will be held at the University of Alberta in Edmonton, AB, June 9-13, 2014. Additionally, both pre- and post-conference events will be held in Vancouver, Edmonton, and Banff. The week before SMC 2014, a String-Math Summer School will be held at the University of British Columbia in Vancouver, BC. The week following SMC 2014 features two Satellite Workshops in Alberta: "Calabi-Yau Manifolds and their Moduli" at the University of Alberta and "Quantum Curves and Quantum Knot Invariants" at the Banff International Research Station for Mathematical Innovation and Discovery (BIRS). The String-Math Conferences are a series of large meetings bringing together mathematicians and physicists who work on ideas related to string theory. The nature of interactions between mathematicians and physicists has been thoroughly transformed in recent years. String theory, as well as quantum field theory, has contributed a series of profound ideas which gave rise to entirely new mathematical fields and revitalized older ones. By now there is a large and rapidly growing number of both mathematicians and physicists working at the string-theoretic interface between the two academic fields. The influence flows in both directions, with mathematical techniques and ideas contributing crucially to major advances in string theory.For mathematics, string theory has been a source of many significant inspirations, ranging from Seiberg-Witten theory in four-manifolds, to enumerative geometry and Gromov-Witten theory in algebraic geometry, to work on the Jones polynomial in knot theory, to advances in symplectic topology, to recent progress in the geometric Langlands program and the development of derived algebraic geometry and n-category theory. In the other direction, mathematics has provided physicists with powerful tools, ranging from powerful differential geometric techniques for solving or analyzing key partial differential equations, to toric geometry, to K-theory and derived categories in D-branes, to the analysis of Calabi-Yau manifolds and string compactifications, to the use of modular forms and other arithmetic techniques. This mutual interaction has enhanced the depth, power, and novelty of the results obtained in both fields. This award provides partial support for travel and lodging to advanced students and postdoctoral participants. Participation of young researchers and those from underrepresented groups is actively encouraged. The results presented at the conference will be disseminated through a conference web site https://sites.google.com/a/ualberta.ca/stringmath2014/and through the Pacific Institute for the Mathematical Sciences online video archive www.mathtube.orgwhich will host video recordings of the talks, slides, and notes.

2014年字符串数学会议（SMC）将于2014年6月9日至13日在埃德蒙顿的阿尔伯塔大学举行。 此外，会前和会后活动将在温哥华、埃德蒙顿和班夫举行。 在SMC 2014的前一周，一个字符串数学暑期学校将在温哥华的不列颠哥伦比亚省大学举行。 SMC 2014之后的一周在阿尔伯塔举办了两个卫星研讨会：阿尔伯塔大学的“卡-丘流形及其模”和班夫数学创新与发现国际研究站（BIRS）的“量子曲线和量子结不变量”。 弦数学会议是一系列大型会议，汇集了从事弦理论相关思想研究的数学家和物理学家。 近年来，数学家和物理学家之间相互作用的性质已经彻底改变。 弦理论和量子场论一样，贡献了一系列深刻的思想，这些思想催生了全新的数学领域，并使旧的数学领域重新焕发活力。 到目前为止，有大量的数学家和物理学家在这两个学术领域之间的弦理论接口上工作，而且数量还在迅速增长。 弦理论的影响是双向的，数学技术和思想对弦理论的重大进展做出了至关重要的贡献。对于数学来说，弦理论是许多重要灵感的来源，从四维流形中的Seiberg-Witten理论，到代数几何中的枚举几何和Gromov-Witten理论，到纽结理论中的琼斯多项式，到辛拓扑学的进展，最近的进展，几何朗兰兹计划和发展派生代数几何和n-范畴理论。 在另一个方向，数学为物理学家提供了强大的工具，从求解或分析关键偏微分方程的强大微分几何技术，到复曲面几何，到K理论和D膜中的导出范畴，到卡-丘流形和弦紧化的分析，再到模形式和其他算术技术的使用。 这种相互作用增强了这两个领域所取得的成果的深度、力量和新奇。 该奖项为高级学生和博士后参与者提供部分旅行和住宿支持。 积极鼓励青年研究人员和代表性不足群体的研究人员参与。 在会议上提出的结果将通过会议网站https://sites.google.com/a/ualberta.ca/stringmath2014/and通过太平洋数学科学研究所在线视频档案www.mathtube.org传播，该档案将提供会谈、幻灯片和笔记的视频记录。