Mirror symmetry, affine geometry and Gromov-Hausdorff limits

• Applicant: Professor Dr. Bernd Siebert
• Subject Area: Mathematics
• Term: from 2005 to 2008
• Project identifier: Deutsche Forschungsgemeinschaft (DFG) - Project number 5453439

Mirror Symmetry is a phenomenon discovered by physicists around 1990. It relates different geometries (symplectic and holomorphic) on pairs of different spaces. This proposal concerns differential-geometric aspects of a joint program with Mark Gross (UCSD) for a comprehensive explanation of this phenomenon by a notion of dual degeneration limits. The program also points to a dictionary of independent interest between symplectic and holomorphic geometry, respectively, on one side and integral affine geometry on the other side.

• DFG Programme: Priority Programmes
• Subproject of: SPP 1154: Global Differential Geometry