GRK 1670: Mathematics Inspired by String Theory and QFT

GRK 1670：受弦理论和 QFT 启发的数学

• 批准号: 163806979
• 金额: --
• 依托单位: Universität Hamburg
• 依托单位国家: 德国
• 项目类别: Research Training Groups
• 财政年份: 2011
• 资助国家: 德国
• 起止时间: 2010-12-31 至 2019-12-31
• 项目状态: 已结题
• 来源: https://gepris.dfg.de/gepris/projekt/163806979?language=en
• 关键词: GRK; 1670; Mathematics; Inspired; String

Structures of quantum field theory and string theory present at the same time a challenge and an important source of inspiration for mathematics. The advent of string theory has brought a new quality to the interaction between mathematicians and physicists: ideas from string theory link areas of mathematics that were previously considered largely unrelated.On the other hand, at present only few mathematicians have sufficient background in physics to identify the mathematical content of physical concepts and questions. The proposed Research Training Group continues to address this issue, by providing its doctoral students with literacy in QFT and string theory, along with a traditional education as a researcher in a related field of mathematics or mathematical physics.The program builds on an established collaboration of the Department of Mathematics of the University of Hamburg with the II. Institute of Theoretical Physics and the DESY Theory Group.

量子场论和弦理论的结构同时对数学提出了挑战，也是灵感的重要来源。弦理论的出现给数学家和物理学家之间的互动带来了新的特点：来自弦理论的思想将以前被认为基本无关的数学领域联系在一起。另一方面，目前只有少数数学家有足够的物理背景来识别物理概念和问题的数学内容。拟议的研究培训小组继续解决这一问题，向其博士生提供QFT和弦论方面的知识，以及作为相关数学或数学物理领域的研究人员的传统教育。该计划建立在汉堡大学数学系与II.理论物理研究所和DESY理论小组建立的合作基础上。