Gromov-Witten Theory, geometry and representations

• Applicant: Professor Dr. Benjamin Klopsch, since 9/2015
• Subject Area: Mathematics
• Term: from 2013 to 2018
• Project identifier: Deutsche Forschungsgemeinschaft (DFG) - Project number 240029351

The aim of this project is to developp the important connection between Algebraic Geometry, Representations Theory and Theoretical Physics involved in Mirror Symmetry and Gromov-Witten Theory.The applicant's research recors already include connections between Representations Theory and Gromov-Witten Theory. He is an investigator of a French Researcher Group (funded by the ANR) which enabled young french researcher to developing Gromov-Witten Theory and Mirror Symmetry in France (other participants: S. Boissiere, P.-E. Chaput, A. Chiodo, E. Mann, and D. Zvonkine). The project presented here is a first step in the applicant's aim at settling Gromov-Witten Theory especially its Representations Theoretic aspects in Düsseldorf. We expect connections to nearby universities (Essen, Köln, Bonn, Paris).Especially the many expected generalisations of Gromov-Witten Theory to K-theory. Side activities like external experts invitations and a conference on Gromov-Witten Theory, Representations and Physics funded by the above ANR project and DFG Schwerpunktprogramm 1388 - Darstellungstheorie are planned.

• DFG Programme: Research Grants
• Ehemaliger Antragsteller: Professor Dr. Nicolas Perrin, until 8/2015