| Topology & Equivariant Theories |
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A1, A2, A3, A5, A6, A7, A8
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| Dynamics & Variational Methods |
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B1, B2, B3, B4, B5, B6, B7, B8
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| Algebra, Combinatorics & Optimization |
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C1, C2, C3, C4, C5, C6, C7
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| Mercator-Fellow |
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2017-2020
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| 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 |
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