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
Algebra, Combinatorics & Optimization
C1: Symplectic capacities of polytopes
Abbondandolo, Vallentin, Thäle
Abstract:
The aim of this project is to perform first steps into discrete symplectic geometry by developing and implementing algorithms to compute the Ekeland-Hofer capacity of convex polytopes in a symplectic vector space. These algorithms are based on the dual action principle of Clarke. There are several interesting symplectic and optimization questions connected to this. We expect these algorithms to give us insights into challenging open questions in symplectic topology, billiard dynamics and convex geometry.
Group:
 
Prof. Alberto Abbondandolo (PI)
mail: alberto.abbondandolo at rub.de
phone: 0234 / 32 23345
room: IB 3/65
Faculty of Mathematics
Ruhr-University Bochum
Prof. Christoph Thäle (PI)
mail: christoph.thaele at rub.de
phone: 0234 / 32 28988
room: IB E2/111
Faculty of Mathematics
Ruhr-University Bochum
Prof. Frank Vallentin (PI)
mail: frank.vallentin at uni-koeln.de
phone: 0221 / 470 6003
location: Weyertal 80
Mathematical Institute
University of Cologne
Daniel Rosen (pd)
mail: Daniel.Rosen at ruhr-uni-bochum.de
phone: 0234 / 32 29161
room: IB 2/93
Faculty of Mathematics
Ruhr-University Bochum
Karla Leipold, M.Sc. (ds)
mail: karla.leipold at gmail.com
phone: 0221 470 6026
room: Room 6.116 (Sibille-Hartmann-Str. 2-8, Eingang D)
Mathematical Institute
University of Cologne
Stefan Matijevic (ds)
mail: stefan.matijevic at rub.de
phone: 0234 / 32 19872
room: IB 3/135
Faculty of Mathematics
Ruhr-University Bochum
Impressum Institution of DFG, MI University of Cologne, FM Ruhr-University Bochum and MI University of Heidelberg