High and low dimensional gauge theory and exceptional geometry

• Applicant: Professor Dr. Andriy Haydys
• Subject Area: Mathematics
• Term: from 2009 to 2012
• Project identifier: Deutsche Forschungsgemeinschaft (DFG) - Project number 159746811

Gauge-theoretical methods have been successfully applied over the past decades in different areas of geometry/topology, most notably in studies of low dimensional manifolds and certain geometric structures (e.g. symplec- tic). Recently higher dimensional gauge theories, which are closely related to Calabi-Yau and exceptional manifolds, also attracted a lot of interest. The project aims to establish connections between different flavours of gauge theory and underlying geometries.

• DFG Programme: Research Fellowships
• International Connection: United Kingdom
• Host: Professor Dr. Simon Donaldson