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String Math Conferences 2014, June 9-13, 2014

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:
$10.0万
依托单位:
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
项目状态:
已结题
起止时间:
2014-05-01 至 2018-04-30

项目摘要

项目成果

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中文摘要
翻译
2014年弦数学会议(SMC)将于2014年6月9日至13日在阿肯色州埃德蒙顿的艾伯塔大学举行。此外,会前和会后活动都将在温哥华、埃德蒙顿和班夫举行。在SMC 2014年的前一周,将在不列颠哥伦比亚省温哥华的不列颠哥伦比亚大学举办弦数学暑期班。SMC 2014之后的一周在艾伯塔省举办了两个卫星讲习班:在艾伯塔大学举办的《Calabi-Yau流形及其模数》和在班夫国际数学创新和发现研究站举办的《量子曲线和量子结不变量》。弦-数学会议是一系列大型会议,聚集了致力于弦理论相关想法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发生了彻底的变化。弦理论和量子场论都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界面上工作,而且数量迅速增加。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步起到了至关重要的作用。对于数学来说,弦理论是许多重要灵感的来源,从四流形中的Seiberg-Witten理论,到代数几何中的列举几何和Gromov-Witten理论,到纽结理论中的Jones多项式,到辛拓扑的进步,到几何朗兰兹程序的最新进展,以及衍生代数几何和n范畴理论的发展。另一方面,数学为物理学家提供了强大的工具,从用于求解或分析关键偏微分方程的强大的微分几何技术,到环面几何,到K理论和D-膜中的派生范畴,到Calabi-Yau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成果的深度、力度和新颖性。该奖项为高级学生和博士后学员提供部分旅费和住宿费。积极鼓励年轻研究人员和代表性不足群体的参与。在会议上介绍的成果将通过太平洋数学科学研究所在线视频档案www.mathtube.org通过会议网站https://sites.google.com/a/ualberta.ca/stringmath2014/and传播,该档案将提供演讲、幻灯片和笔记的视频记录。
英文摘要
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.
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Algebraic Geometry and Strings
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