GRK 1670: Mathematics Inspired by String Theory and QFT

量子场论和弦论的结构同时也是数学的一个挑战和重要的灵感来源。弦理论的出现为数学家和物理学家之间的互动带来了新的性质：弦理论的思想将以前被认为基本上不相关的数学领域联系起来，另一方面，目前只有少数数学家有足够的物理学背景来识别物理概念和问题的数学内容。拟议中的研究培训小组继续解决这个问题，通过为博士生提供QFT和弦理论的素养，沿着作为数学或数学物理相关领域研究人员的传统教育。该计划建立在汉堡大学数学系与II的既定合作基础上。理论物理研究所和DESY理论小组。

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.