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
C3: Momentum polytopes, string polytopes and generalizations
Cupit-Foutou, Heinzner, Littelmann, Reineke
Abstract:
Actions of Lie groups by symplectic transformations are quite often Hamiltonian. By definition, this means that there exists an equivariant momentum map on the manifold with values in the dual Lie algebra of the acting group. In this project, we mainly focus on multiplicity-free manifolds (e.g. toric varieties, flag varieties and more generally spherical varieties), representation spaces of quivers and Nakajima quiver varieties. In the cases under study, the momentum map has remarkable convexity properties. One of our goals is to understand the images of these momentum maps in terms of the geometry of the varieties and vice versa.
Group:
 
PD Dr. Stéphanie Cupit-Foutou (PI)
mail: stephanie.cupit at rub.de
phone: 0234 / 32 23331
room: IB 3/95
Faculty of Mathematics
Ruhr-University Bochum
Prof. Peter Heinzner (PI)
mail: peter.heinzner at rub.de
phone: 0234 / 32 23325
room: IB 3/115
Faculty of Mathematics
Ruhr-University Bochum
Prof. Peter Littelmann (PI)
mail: peter.littelmann at math.uni-koeln.de
phone: 0221 / 470 3715
room: 114
Mathematical Institute
University of Cologne
Prof. Markus Reineke (PI)
mail: markus.reineke at rub.de
phone: 0234/ 32 28241
room: IB 2/129
Faculty of Mathematics
Ruhr-University Bochum
Dr. Narasimha Chary Bonala (pd)
mail: narasimha.bonala at rub.de
phone: 0234 / 32 23327
room: IB 3/101
Faculty of Mathematics
Ruhr-University Bochum
Jorret-Alexander Bley (ds)
mail: Jorret-Alexander.Bley at rub.de
phone: 0234 / 32 23323
room: IB 3/121
Faculty of Mathematics
Ruhr-University Bochum
Johanna Neuhaus (ds)
mail: johanna.neuhaus at rub.de
phone: 0234 / 32 23324
room: IB 3/117
Faculty of Mathematics
Ruhr-University Bochum
Daniel Schaefer (ds)
mail: d.schaefer at math.uni-koeln.de
phone: 0221 / 470 4297
room: 212 (Weyertal 86-90)
Mathematical Institute
University of Cologne
Tobias Waedt (ds)
mail: tobias.waedt at rub.de
phone: 0234 / 32 23330
room: IB 3/107
Faculty of Mathematics
Ruhr-University Bochum
Impressum Institution of DFG, MI University of Cologne, FM Ruhr-University Bochum and MI University of Heidelberg