Research Training Group 1670 (2011-2020, completed)

The quest for a unified theory of quantum theory and gravity has long been an important source of inspiration for mathematics. The advent of string theory with its need for a much broader mathematical treatment has brought a new quality to this interaction. In fact, string theory not only continues to suggest challenging and surprising mathematical conjectures, the string-theoretic viewpoint also links areas of mathematics that were previously considered largely unrelated.

The Research Training Group 1670 has offered from 2011-2020 a structured doctoral training on mathematical and mathematical physics topics in this context. A special emphasis was on acquiring literacy in QFT and string theory to be able to study original physics sources and to assess them properly. The Research Training Group ended after its maximal funding period on March 31, 2020.

The program built on an established and very lively collaboration of the Department of Mathematics of the University of Hamburg with the II. Institute of Theoretical Physics and the DESY Theory Group within the Center of Mathematical Physics. We also cooperated with the Emmy-Noether group ``Building Blocks of Physical Theories from the Geometry of Quantization and BPS states'' (head: Murad Alim)