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
B8: Symplectic methods for generalized billiards
Albers, Bramham, Pozzetti, Hryniewicz
Abstract:
The aim of this project is to combine the theory of finite energy foliations for 3-dimensional Reeb flows and 2-dimensional billiard dynamics. One goal is to achieve a deeper understanding specifically of non-convex billiard tables and of generalized billiard systems. The use of holomorphic curve methods for 3-dimensional Reeb flows, in particular on S3, was pioneered by Hofer-Wysocki-Zehnder.
Group:
 
Prof. Peter Albers (PI)
mail: palbers at mathi.uni-heidelberg.de
phone: 06221 / 54 14230
room: 3.405
Mathematical Institute
Heidelberg University
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. Beatrice Pozzetti (PI)
mail: pozzetti at mathi.uni-heidelberg.de
phone: 06221 / 54 14050
room: 5/229
Mathematical Institute
Heidelberg University
Dr. Richard Siefring (pd)
mail: siefring at mathi.uni-heidelberg.de
phone: 06221 / 54 14868
room: 03.102A (Im Neuenheimer Feld 206)
Mathematical Institute
Heidelberg University
Pu Jessica Wang (ds)
mail: wang at mathga.rwth-aachen.de
 
 
Mathematical Institute
RWTH Aachen
Impressum Institution of DFG, MI University of Cologne, FM Ruhr-University Bochum and MI University of Heidelberg