Differential Geometry and Lie Groups Application for “initiativkolleg Der Universität Wien”

The disciplines covered by the proposed Initiativkolleg include differential geometry, groups of symmetries, (non-linear) PDEs, singularities, and mathematical relativity. The local expertise together with the obvious synergies between these fields has the potential of creating a group of students who have close interaction both among themselves and with the existing research groups. The organizers’ scientific connections allow international co-supervision of the PhD theses. The Initiativkolleg would also provide students with the opportunity to gain experience in scientific presentation, to visit international conferences and establish contacts with distinguished scientists. 1. Description of mathematical subfields and collaboration