## 15. ÖMG-Kongress

Jahrestagung der Deutschen Mathematikervereinigung

#### 16. bis 22. September 2001 in Wien

**Sektion ESI - Erwin Schrödinger Institut**

Dienstag, 18. September 2001, 17.00-17.50, ESI-Hörsaal

**Geometry and Supersymmetry**

**Jose M. Figueroa-O'Farrill**,

**University of Edinburgh**

Differential geometry has always been enriched by its interaction
with physics. In this lecture I will attempt to give a guided tour
through some topics in differential geometry which have recently
benefited from this interaction. We will see that the key physical
idea is that of supersymmetry, which although discovered for a
different purpose altogether, provides a dictionary between geometry
and physics, mostly in the form of string theory and its diverse
gravity and field theory limits. The review will centre upon the
following topics: holonomy groups, calibrated geometry, and mirror
symmetry.

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