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
C4: Combinatorics of manifolds with symmetries and modularity properties
Bringmann, Sabatini
Abstract:
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.
Group:
 
Prof. Kathrin Bringmann (PI)
mail: kbringma at math.uni-koeln.de
phone: 0221 / 470 4334
location: Gyrhofstr. 8b
Mathematical Institute
University of Cologne
Prof. Silvia Sabatini (PI)
mail: sabatini at math.uni-koeln.de
phone: 0221 / 470 2890
room: 8
Mathematical Institute
University of Cologne
Dr. Walter Bridges (pd)
mail: wbridges at uni-koeln.de
phone: 0221 / 470 6802
room: 05 (Gyrhofstrasse 8b)
Mathematical Institute
University of Cologne
Dr. Nicholas Lindsay (pd)
mail: nlindsay at math.uni-koeln.de
phone: 0221 / 470 1009
room: 005a
Mathematical Institute
University of Cologne
Impressum Institution of DFG, MI University of Cologne, FM Ruhr-University Bochum and MI University of Heidelberg