Symplectic Structures in Geometry, Algebra and Dynamics
Collaborative Research Centre TRR 191
 
A1, A2, A3, A5, A6, A7, A8
B1, B2, B3, B4, B5, B6, B7, B8
C1, C2, C3, C4, C5, C6, C7
2017-2020
Dynamics & Variational Methods
B1: Topological entropy and geodesic flows on surfaces
Bramham, Knieper, Hryniewicz
Abstract:
The main focus of this project is to investigate which entropy related dynamical phenomena of geodesic flows on surfaces are geometric in nature and which are symplectic. For example, which phenomena generalize to three-dimensional Reeb flows? In three subprojects we will further develop the connection between finite energy foliations and symbolic dynamics to understand orbit travel, also in the context of the restricted three-body problem, and use chord contact homology to study measures of maximal entropy. Questions about non-finite energy holomorphic curves, so-called feral curves, will also be studied.
Group:
 
Prof. Barney Bramham (PI)
mail: barney.bramham at rub.de
phone: 0234 / 32 24179
room: IB 3/61
Faculty of Mathematics
Ruhr-University Bochum
Prof. Umberto Hryniewicz (PI)
mail: umberto.hryniewicz at rwth-aachen.de
phone: 0241 / 809 4535
room: 304 (Jakobstrasse 2)
Mathematical Institute
RWTH Aachen
Prof. Gerhard Knieper (PI)
mail: gerhard.knieper at rub.de
phone: 0234 / 32 22381
room: IB 3/183
Faculty of Mathematics
Ruhr-University Bochum
Dr. Benoit Joly (pd)
mail: benoit.joly at rub.de
phone: 0234 / 32 23343
room: IB 3/69
Faculty of Mathematics
Ruhr-University Bochum
Jacobus de Pooter (ds)
mail: Jacobus.DePooter at ruhr-uni-bochum.de
phone: 0234 / 32 27781
room: IB 3/53
Faculty of Mathematics
Ruhr-University Bochum
Impressum Institution of DFG, MI University of Cologne, FM Ruhr-University Bochum and MI University of Heidelberg