Mirror symmetry, affine geometry and Gromov-Hausdorff limits

• Antragsteller: Professor Dr. Bernd Siebert
• Fachliche Zuordnung: Mathematik
• Förderung: Förderung von 2005 bis 2008
• Projektkennung: Deutsche Forschungsgemeinschaft (DFG) - Projektnummer 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-Verfahren: Schwerpunktprogramme
• Teilprojekt zu: SPP 1154: Globale Differentialgeometrie