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
C5: Modular forms and Gromov-Witten theory
Bringmann, Suhr, Zehmisch
Abstract:
Gromov-Witten invariants count isolated stable holomorphic maps from a Riemann surface into a symplectic manifold subject to point-wise constraints. This count leads to a sequence of numbers labelled by the genus, the homology class, and a finite collection of cohomology classes. This sequence can be organized in a formal power series in several variables - the so-called Gromov-Witten potential. In order to compute the Gromov-Witten invariants, one is looking for algebraic relations between the coefficients of the Gromov-Witten potential. In some cases this can be done by invoking modularity properties of the Gromov-Witten potentials.
Group:
 
Prof. Kathrin Bringmann (PI)
mail: kbringma at math.uni-koeln.de
phone: 0221 / 470 4334
location: Gyrhofstr. 8b
Mathematical Institute
University of Cologne
Dr. Stefan Suhr (PI)
mail: stefan.suhr at rub.de
phone: 0234 / 32 27393
room: IB 3/81
Faculty of Mathematics
Ruhr-University Bochum
Prof. Kai Zehmisch (PI)
mail: Kai.Zehmisch at ruhr-uni-bochum.de
phone: 0234 / 32 22409
room: IB 3/59
Faculty of Mathematics
Ruhr-University Bochum
Dr. Caner Nazaroglu (pd)
mail: cnazarog at math.uni-koeln.de
phone: 49 (0)221 470 1302
room: C105 (Gyrhofstr. 8a)
Mathematical Institute
University of Cologne
Dr. Wolfgang Schmaltz (pd)
mail: Wolfgang.Schmaltz at ruhr-uni-bochum.de
phone: 0234 / 32 23352
room: IB 3/85
Faculty of Mathematics
Ruhr-University Bochum
Kevin Sporbeck (ds)
mail: kevin.sporbeck at rub.de
phone: 0234 / 32 19603
room: IB 3/83
Faculty of Mathematics
Ruhr-University Bochum
Giorgia Testolina (ds)
mail: giorgia.testolina at rub.de
phone: 0234 / 32 19872
room: IB 3/135
Faculty of Mathematics
Ruhr-University Bochum
Impressum Institution of DFG, MI University of Cologne, FM Ruhr-University Bochum and MI University of Heidelberg