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
Algebra, Combinatorics & Optimization
C4: Combinatorics of manifolds with symmetries and modularity properties
Bringmann, Sabatini
The goal of this project is, on the one side, to study the implications - at a geometric and number theoretical level - of the rigidity and vanishing of certain elliptic genera associated with an almost complex manifold acted on by a circle, which will give results in the direction of the Mukai conjecture. On the other side we will define elliptic genera for combinatorial objects, such as cones and abstract GKM graphs, and generalize related results by Borisov and Gunnels for the so-called toric modular forms.
Prof. Kathrin Bringmann (PI)
mail: kbringma at
phone: 0221 / 470 4334
location: Gyrhofstr. 8b
Mathematical Institute
University of Cologne
Prof. Silvia Sabatini (PI)
mail: sabatini at
phone: 0221 / 470 2890
room: 8
Mathematical Institute
University of Cologne
Impressum Institution of DFG, MI University of Cologne, FM Ruhr-University Bochum and MI University of Heidelberg