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
Dynamics & Variational Methods
B3: Systolic inequalities in Reeb dynamics
Abbondandolo, Bramham, Hryniewicz
The aim of this project is to extend some notions from classical systolic geometry to Reeb dynamics. In particular, we would like to carry out a thorough study of the ratio of the n-th power of the minimal action of a closed characteristic by the contact volume. Typical questions which we would like to address are, Is this ratio bounded from above on meaningful classes of contact forms? Is the maximum achieved? Although not a symplectically invariant notion, convexity seems to play a special role, why? Answers to these questions are expected to shed some light on important open problems in symplectic topology, Riemannian and Finsler systolic geometry, convex analysis and billiard dynamics.
Prof. Alberto Abbondandolo (PI)
mail: alberto.abbondandolo at
phone: 0234 / 32 23345
room: IB 3/65
Faculty of Mathematics
Ruhr-University Bochum
Prof. Barney Bramham (PI)
mail: barney.bramham at
phone: 0234 / 32 24179
room: IB 3/61
Faculty of Mathematics
Ruhr-University Bochum
Prof. Umberto Hryniewicz (PI)
mail: umberto.hryniewicz at
phone: 0241 / 809 4535
room: 304 (Jakobstrasse 2)
Mathematical Institute
RWTH Aachen
Dr. Pierre-Alexandre Arlove (pd)
mail: Pierre-Alexandre.Arlove at
phone: 0234 / 32 27381
room: IB 3/79
Faculty of Mathematics
Ruhr-University Bochum
Samanyu Sanjay (ds)
mail: sanjay at
Mathematical Institute
RWTH Aachen
Michael Vogel (ds)
mail: Michael.Vogel-j6m at
phone: 0234 / 32 23346
room: IB 3/67
Faculty of Mathematics
Ruhr-University Bochum
Impressum Institution of DFG, MI University of Cologne, FM Ruhr-University Bochum and MI University of Heidelberg