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Global Differential Geometry: Mirror symmetry, affine geometry and Gromov-Hausdorff limits.

Description of the project:
Mirror symmetry is a phenomenon discovered by physicists around 1990. It relates different geometries (symplectic and holomorphic) on pairs of different spaces. This project concerns differential-geometric aspects of my 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.

Additional information: http://home.mathematik.uni-freiburg.de/siebert/
contact person: Prof. Dr. Bernd Siebert
Phone: 0761/203-5563
Email: Bernd.Siebert@math.uni-freiburg.de
Runtime:
Start of project: 01.10.2005
End of project: 30.09.2007
Project Management:
Albert-Ludwigs-University Freiburg
Prof. Dr. Bernd Siebert
Abteilung für Reine Mathematik
Mathematisches Institut
Eckerstraße 1
79104 Freiburg i. Br.
Germany

Phone: 0761/203-5542
Fax: 0761/203-5541
Email: rm@math.uni-freiburg.de
http://www.math.uni-freiburg.de/allgemein/abteilungen/rein.de.html
Actual Research Report