Geodesic flows and Weyl chamber flows on affine buildings (B04)

• Subject Area: Mathematics
• Term: since 2023
• Project identifier: Deutsche Forschungsgemeinschaft (DFG) - Project number 491392403

Affine buildings and their quotients are geometric objects which come along with interesting dynamical systems. This project studies geodesic flows and Weyl chamber flows on such buildings. More precisely, the project aims to develop a spectral theory of joint Ruelle-Taylor resonances for the Weyl chamber flows and study equidistribution properties of maximal flats. Furthermore, dynamical equidistribution results will serve as a means to prove isoperimetric inequalities for arithmetic groups in the function field case.

• DFG Programme: CRC/Transregios
• Subproject of: TRR 358: Integral Structures in Geometry and Representation Theory
• Applicant Institution: Universität Bielefeld
• Project Heads: Professor Dr. Kai-Uwe Bux; Professor Dr. Joachim Hilgert; Professor Dr. Tobias Weich