Associative Algebras from Symplectic Geometry (C07)

• Subject Area: Mathematics
• Term: since 2022
• Project identifier: Deutsche Forschungsgemeinschaft (DFG) - Project number 281071066

The central topic of this project is on the interplay of the algebraic and geometric properties of the of associative algebras arising in the context of different settings of symplectic geometry. A particular focus is on the associative algebras related to ((partially) wrapped) Fukaya categories and certain quantum field theories, in particular N=2 4d gauge theories. The main goal is to study the insight the geometric origin of these algebras give on their representation theory and in turn to feed this back into our understanding of the underlying geometry.

• DFG Programme: CRC/Transregios
• Subproject of: TRR 191: Symplectic Structures in Geometry, Algebra and Dynamics
• Applicant Institution: Universität zu Köln
• Project Heads: Professor Dr. Peter Littelmann; Professor Dr. Markus Reineke; Professorin Dr. Sibylle Schroll