Geometry and Mathematical Physics School (GEOMAPS) is a national, Danish PhD school initiated 1 January 2008 based on a grant from the Danish Agency for Science, Technology and Innovation
The research school is a collaboration between five Danish research teams:
GEOMAPS focuses on research at the interface of geometry and mathematical physics.
Research in this area has produced many fundamental results both in mathematics and physics. They include classical mechanics, electrodynamics, Einstein gravity and modern quantum theories of elementary particles. An important ingredient in this development was the general understanding of the notion of symmetry and symmetry transformations. A unifying quantum theory involving gravity is, however, still missing.
Scientists world-wide make great efforts to develop a mathematically consistent theory which does exactly that. Perhaps, the most promising candidate to unify both gravity and modern quantum field theory into a new paradigm is String Theory.
Working on geometrical aspects of such theories will constitute the main project-theme of the proposed research school.
The goal of GEOMAPS is threefold: