GRK 775:  Hierarchy and Symmetry in Mathematical Models

• Subject Area: Mathematics
• Term: from 2002 to 2008
• Project identifier: Deutsche Forschungsgemeinschaft (DFG) - Project number 273427

This research training group deals with such problems from mathematicsand the engineering sciences, which exhibit intrinsic hierarchicalstructures and symmetries. The existence of symmetry in a hierarchical system leads to a reduction of its complexity.The research training group is located in mathematics, while the problems to be treated are motivated by applications from different fields. The list of topics ranges from basic research (differential equations, wavelets, graphs, combinatorics), mathematical modelling of phenomena in nature, algorithmic questions (parallelization of numerical and algebraic algorithms, multigrid methods), to the analysis of technical processes (automatic guidance of unmanned air vehicles, optimization of chemical process systems).The teaching program aims at providing a survey of the topics represented by the group. This will enable the graduates to act as mediators in heterogeneous teams.

• DFG Programme: Research Training Groups
• Applicant Institution: Rheinisch-Westfälische Technische Hochschule Aachen
• Spokesperson: Professor Dr. Gerhard Hiß
• Participating Researchers: Professor Dr.-Ing. Wolfgang Alles; Professor Dr. Christian Bischof; Professor Dr. Wolfgang Dahmen; Professor Dr. Aloys Krieg; Professor Dr. Stanislaus Maier-Paape; Professor Dr.-Ing. Wolfgang Marquardt; Professor Dr. Rudolf Mathar; Professor Dr.-Ing. Walter Michaeli; Professor Dr. Sebastian Noelle; Professor Dr. Wilhelm Plesken; Professor Dr. Arnold Reusken; Professor Dr.-Ing. Wolfgang Schröder; Professor Dr. Eberhard Triesch; Professor Dr. Sebastian Walcher; Professor Dr. Michael Wiegner