Symplectic Structures in Geometry, Algebra and Dynamics
Collaborative Research Centre TRR 191
 
A1, A2, A3, A5, A6, A7
B1, B2, B3, B4, B5, B6, B7
C1, C2, C3, C4, C5
Topology & Equivariant Theories
A1: Topological aspects of symplectic manifolds with symmetries
Heinzner, Reineke, Sabatini
Abstract:
We study topological properties of symplectic manifolds with a Lie group action by symplectomorphisms. Central goals are the computation of topological invariants, classifications of suitable classes of such manifolds, and approaches to symplectic analogues of the Mukai conjecture and the Kobayashi-Ochiai theorem. We study symplectic reductions of Hamiltonian actions on Kähler manifolds related to quivers, with the goal of establishing new correspondences between Gromov-Witten invariants and Donaldson-Thomas invariants of quiver moduli.
Group:
 
Prof. Peter Heinzner (PI)
mail: peter.heinzner at rub.de
phone: 0234 / 32 23325
room: OG 47 (Container N-Süd)
Faculty of Mathematics
Ruhr-University Bochum
Prof. Markus Reineke (PI)
mail: markus.reineke at rub.de
phone: 0234/ 32 28241
room: NA 2/73
Faculty of Mathematics
Ruhr-University Bochum
Prof. Silvia Sabatini (PI)
mail: sabatini at math.uni-koeln.de
phone: 0221 / 470 2890
room: 8
Mathematical Institute
University of Cologne
Dr. Hans Franzen (pd)
mail: hans.franzen at rub.de
phone: 0234 / 32 23243
room: NA 2/75
Faculty of Mathematics
Ruhr-University Bochum
Dr. Milena Pabiniak (pd)
mail: pabiniak at math.uni-koeln.de
phone: 0221 / 470 1009
room: 5a
Mathematical Institute
University of Cologne
Maria Bertozzi (ds)
mail: Maria.Bertozzi at ruhr-uni-bochum.de
phone: 0234 / 32 23238
room: NA 2/76
Faculty of Mathematics
Ruhr-University Bochum
Isabelle Charton, M.Sc. (ds)
mail: icharton at math.uni-koeln.de
phone: 0221 / 470 1301
room: C104 (Gyrhofstr.8a)
Mathematical Institute
University of Cologne
Impressum Institution of DFG, MI University of Cologne and FM Ruhr-University Bochum