MATRIX Research Program: The Geometry of Moduli Spaces in String Theory

The discovery of the relevance of Calabi-Yau manifolds to string compactifications, and later its associated mirror symmetry are two examples of discoveries in string theory that led to small revolutions in pure mathematics. The lesson learned over several decades appears to be: the drive for realistic theories of quantum gravity has generated remarkable and novel pure mathematics. This programme centres on the latest developments in the geometry related to the moduli space of string theories. In particular, we focus on three key topics:

• Non-Kahler complex 3-folds, G2 manifolds and D-branes;
• Sigma models and localisation;
• Topological invariants in string theory.
This research program will bring world leading expertise in these topics, both international and domestic, to discuss the latest developments and to forge new directions.

This MATRIX Research Program is partially supported by AMSI and AustMS through the AMSI-AustMS Workshop Funding.